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Finding the Fourth Proportional to 102,602.40, 141,534.42 and 60,152.76

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Solution

The fourth proportional to 102,602.40, 141,534.42 and 60,152.76 is: 82,977.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,602.40 : 141,534.42 = 60,152.76 : x
  2. Step 2: Convert to fraction form
    102,602.40/141,534.42 = 60,152.76/x
  3. Step 3: Cross multiply
    102,602.40x = 141,534.42 × 60,152.76
  4. Step 4: Simplify right side
    102,602.40x = 8,513,685,998.00
  5. Step 5: Solve for x
    x = 8,513,685,998.00/102,602.40
  6. Step 6: Final answer
    x = 82,977.45

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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.