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Finding the Fourth Proportional to 132,316.82, 182,596.43 and 77,900.61

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Solution

The fourth proportional to 132,316.82, 182,596.43 and 77,900.61 is: 107,502.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,316.82 : 182,596.43 = 77,900.61 : x
  2. Step 2: Convert to fraction form
    132,316.82/182,596.43 = 77,900.61/x
  3. Step 3: Cross multiply
    132,316.82x = 182,596.43 × 77,900.61
  4. Step 4: Simplify right side
    132,316.82x = 14,224,373,280.82
  5. Step 5: Solve for x
    x = 14,224,373,280.82/132,316.82
  6. Step 6: Final answer
    x = 107,502.39

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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.