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Finding the Fourth Proportional to 229,098.33, 316,140.50 and 127,117.32

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Solution

The fourth proportional to 229,098.33, 316,140.50 and 127,117.32 is: 175,413.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,098.33 : 316,140.50 = 127,117.32 : x
  2. Step 2: Convert to fraction form
    229,098.33/316,140.50 = 127,117.32/x
  3. Step 3: Cross multiply
    229,098.33x = 316,140.50 × 127,117.32
  4. Step 4: Simplify right side
    229,098.33x = 40,186,935,037.23
  5. Step 5: Solve for x
    x = 40,186,935,037.23/229,098.33
  6. Step 6: Final answer
    x = 175,413.48

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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.