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Finding the Fourth Proportional to 102,613.64, 141,665.76 and 78,223.16

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Solution

The fourth proportional to 102,613.64, 141,665.76 and 78,223.16 is: 107,992.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,613.64 : 141,665.76 = 78,223.16 : x
  2. Step 2: Convert to fraction form
    102,613.64/141,665.76 = 78,223.16/x
  3. Step 3: Cross multiply
    102,613.64x = 141,665.76 × 78,223.16
  4. Step 4: Simplify right side
    102,613.64x = 11,081,543,411.00
  5. Step 5: Solve for x
    x = 11,081,543,411.00/102,613.64
  6. Step 6: Final answer
    x = 107,992.89

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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.