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Finding the Fourth Proportional to 102,412.92, 141,329.50 and 57,090.40

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Solution

The fourth proportional to 102,412.92, 141,329.50 and 57,090.40 is: 78,784.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,412.92 : 141,329.50 = 57,090.40 : x
  2. Step 2: Convert to fraction form
    102,412.92/141,329.50 = 57,090.40/x
  3. Step 3: Cross multiply
    102,412.92x = 141,329.50 × 57,090.40
  4. Step 4: Simplify right side
    102,412.92x = 8,068,557,686.80
  5. Step 5: Solve for x
    x = 8,068,557,686.80/102,412.92
  6. Step 6: Final answer
    x = 78,784.57

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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.