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Finding the Fourth Proportional to 102,386.40, 141,304.68 and 57,068.52

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Solution

The fourth proportional to 102,386.40, 141,304.68 and 57,068.52 is: 78,760.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,386.40 : 141,304.68 = 57,068.52 : x
  2. Step 2: Convert to fraction form
    102,386.40/141,304.68 = 57,068.52/x
  3. Step 3: Cross multiply
    102,386.40x = 141,304.68 × 57,068.52
  4. Step 4: Simplify right side
    102,386.40x = 8,064,048,956.67
  5. Step 5: Solve for x
    x = 8,064,048,956.67/102,386.40
  6. Step 6: Final answer
    x = 78,760.94

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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.