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Finding the Fourth Proportional to 223,684.48, 308,693.12 and 128,209.60

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Solution

The fourth proportional to 223,684.48, 308,693.12 and 128,209.60 is: 176,934.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,684.48 : 308,693.12 = 128,209.60 : x
  2. Step 2: Convert to fraction form
    223,684.48/308,693.12 = 128,209.60/x
  3. Step 3: Cross multiply
    223,684.48x = 308,693.12 × 128,209.60
  4. Step 4: Simplify right side
    223,684.48x = 39,577,421,437.95
  5. Step 5: Solve for x
    x = 39,577,421,437.95/223,684.48
  6. Step 6: Final answer
    x = 176,934.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.