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Finding the Fourth Proportional to 224,403.14, 309,645.62 and 128,909.81

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Solution

The fourth proportional to 224,403.14, 309,645.62 and 128,909.81 is: 177,877.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,403.14 : 309,645.62 = 128,909.81 : x
  2. Step 2: Convert to fraction form
    224,403.14/309,645.62 = 128,909.81/x
  3. Step 3: Cross multiply
    224,403.14x = 309,645.62 × 128,909.81
  4. Step 4: Simplify right side
    224,403.14x = 39,916,357,396.98
  5. Step 5: Solve for x
    x = 39,916,357,396.98/224,403.14
  6. Step 6: Final answer
    x = 177,877.89

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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.