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Finding the Fourth Proportional to 102,825.39, 141,898.05 and 57,502.86

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Solution

The fourth proportional to 102,825.39, 141,898.05 and 57,502.86 is: 79,353.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,825.39 : 141,898.05 = 57,502.86 : x
  2. Step 2: Convert to fraction form
    102,825.39/141,898.05 = 57,502.86/x
  3. Step 3: Cross multiply
    102,825.39x = 141,898.05 × 57,502.86
  4. Step 4: Simplify right side
    102,825.39x = 8,159,543,703.42
  5. Step 5: Solve for x
    x = 8,159,543,703.42/102,825.39
  6. Step 6: Final answer
    x = 79,353.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.