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Finding the Fourth Proportional to 132,716.17, 183,152.71 and 75,357.98

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Solution

The fourth proportional to 132,716.17, 183,152.71 and 75,357.98 is: 103,996.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,716.17 : 183,152.71 = 75,357.98 : x
  2. Step 2: Convert to fraction form
    132,716.17/183,152.71 = 75,357.98/x
  3. Step 3: Cross multiply
    132,716.17x = 183,152.71 × 75,357.98
  4. Step 4: Simplify right side
    132,716.17x = 13,802,018,122.38
  5. Step 5: Solve for x
    x = 13,802,018,122.38/132,716.17
  6. Step 6: Final answer
    x = 103,996.51

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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.