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Finding the Fourth Proportional to 102,664.68, 141,678.34 and 60,223.92

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Solution

The fourth proportional to 102,664.68, 141,678.34 and 60,223.92 is: 83,109.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,664.68 : 141,678.34 = 60,223.92 : x
  2. Step 2: Convert to fraction form
    102,664.68/141,678.34 = 60,223.92/x
  3. Step 3: Cross multiply
    102,664.68x = 141,678.34 × 60,223.92
  4. Step 4: Simplify right side
    102,664.68x = 8,532,425,013.89
  5. Step 5: Solve for x
    x = 8,532,425,013.89/102,664.68
  6. Step 6: Final answer
    x = 83,109.64

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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.