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Finding the Fourth Proportional to 224,569.40, 309,894.88 and 127,764.14

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Solution

The fourth proportional to 224,569.40, 309,894.88 and 127,764.14 is: 176,308.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,569.40 : 309,894.88 = 127,764.14 : x
  2. Step 2: Convert to fraction form
    224,569.40/309,894.88 = 127,764.14/x
  3. Step 3: Cross multiply
    224,569.40x = 309,894.88 × 127,764.14
  4. Step 4: Simplify right side
    224,569.40x = 39,593,452,833.60
  5. Step 5: Solve for x
    x = 39,593,452,833.60/224,569.40
  6. Step 6: Final answer
    x = 176,308.32

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