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Finding the Fourth Proportional to 223,084.86, 307,907.94 and 127,644.18

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Solution

The fourth proportional to 223,084.86, 307,907.94 and 127,644.18 is: 176,178.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,084.86 : 307,907.94 = 127,644.18 : x
  2. Step 2: Convert to fraction form
    223,084.86/307,907.94 = 127,644.18/x
  3. Step 3: Cross multiply
    223,084.86x = 307,907.94 × 127,644.18
  4. Step 4: Simplify right side
    223,084.86x = 39,302,656,516.79
  5. Step 5: Solve for x
    x = 39,302,656,516.79/223,084.86
  6. Step 6: Final answer
    x = 176,178.05

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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.