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Finding the Fourth Proportional to 96,886.60, 145,241.98 and 86,389

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Solution

The fourth proportional to 96,886.60, 145,241.98 and 86,389 is: 129,505.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,886.60 : 145,241.98 = 86,389 : x
  2. Step 2: Convert to fraction form
    96,886.60/145,241.98 = 86,389/x
  3. Step 3: Cross multiply
    96,886.60x = 145,241.98 × 86,389
  4. Step 4: Simplify right side
    96,886.60x = 12,547,309,410.22
  5. Step 5: Solve for x
    x = 12,547,309,410.22/96,886.60
  6. Step 6: Final answer
    x = 129,505.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.