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Finding the Fourth Proportional to 132,562.49, 182,875.74 and 78,816.92

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Solution

The fourth proportional to 132,562.49, 182,875.74 and 78,816.92 is: 108,731.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,562.49 : 182,875.74 = 78,816.92 : x
  2. Step 2: Convert to fraction form
    132,562.49/182,875.74 = 78,816.92/x
  3. Step 3: Cross multiply
    132,562.49x = 182,875.74 × 78,816.92
  4. Step 4: Simplify right side
    132,562.49x = 14,413,702,569.52
  5. Step 5: Solve for x
    x = 14,413,702,569.52/132,562.49
  6. Step 6: Final answer
    x = 108,731.38

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1.5x scale

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.