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Finding the Fourth Proportional to 115,464, 159,340.80 and 62,472

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Solution

The fourth proportional to 115,464, 159,340.80 and 62,472 is: 86,211.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,464 : 159,340.80 = 62,472 : x
  2. Step 2: Convert to fraction form
    115,464/159,340.80 = 62,472/x
  3. Step 3: Cross multiply
    115,464x = 159,340.80 × 62,472
  4. Step 4: Simplify right side
    115,464x = 9,954,338,457.60
  5. Step 5: Solve for x
    x = 9,954,338,457.60/115,464
  6. Step 6: Final answer
    x = 86,211.62

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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.