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Finding the Fourth Proportional to 102,580.56, 141,584.80 and 60,152.76

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Solution

The fourth proportional to 102,580.56, 141,584.80 and 60,152.76 is: 83,024.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,580.56 : 141,584.80 = 60,152.76 : x
  2. Step 2: Convert to fraction form
    102,580.56/141,584.80 = 60,152.76/x
  3. Step 3: Cross multiply
    102,580.56x = 141,584.80 × 60,152.76
  4. Step 4: Simplify right side
    102,580.56x = 8,516,716,494.05
  5. Step 5: Solve for x
    x = 8,516,716,494.05/102,580.56
  6. Step 6: Final answer
    x = 83,024.66

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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.