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Finding the Fourth Proportional to 132,565.36, 182,948.07 and 75,980.38

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Solution

The fourth proportional to 132,565.36, 182,948.07 and 75,980.38 is: 104,857.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,565.36 : 182,948.07 = 75,980.38 : x
  2. Step 2: Convert to fraction form
    132,565.36/182,948.07 = 75,980.38/x
  3. Step 3: Cross multiply
    132,565.36x = 182,948.07 × 75,980.38
  4. Step 4: Simplify right side
    132,565.36x = 13,900,463,878.87
  5. Step 5: Solve for x
    x = 13,900,463,878.87/132,565.36
  6. Step 6: Final answer
    x = 104,857.44

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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.