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Finding the Fourth Proportional to 102,966.96, 142,129.44 and 60,538.08

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Solution

The fourth proportional to 102,966.96, 142,129.44 and 60,538.08 is: 83,563.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,966.96 : 142,129.44 = 60,538.08 : x
  2. Step 2: Convert to fraction form
    102,966.96/142,129.44 = 60,538.08/x
  3. Step 3: Cross multiply
    102,966.96x = 142,129.44 × 60,538.08
  4. Step 4: Simplify right side
    102,966.96x = 8,604,243,409.08
  5. Step 5: Solve for x
    x = 8,604,243,409.08/102,966.96
  6. Step 6: Final answer
    x = 83,563.15

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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.