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Finding the Fourth Proportional to 102,364.65, 141,257.39 and 56,415.17

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Solution

The fourth proportional to 102,364.65, 141,257.39 and 56,415.17 is: 77,849.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,364.65 : 141,257.39 = 56,415.17 : x
  2. Step 2: Convert to fraction form
    102,364.65/141,257.39 = 56,415.17/x
  3. Step 3: Cross multiply
    102,364.65x = 141,257.39 × 56,415.17
  4. Step 4: Simplify right side
    102,364.65x = 7,969,059,741.67
  5. Step 5: Solve for x
    x = 7,969,059,741.67/102,364.65
  6. Step 6: Final answer
    x = 77,849.72

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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.