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Finding the Fourth Proportional to 97,175.54, 145,763.34 and 75,021.26

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Solution

The fourth proportional to 97,175.54, 145,763.34 and 75,021.26 is: 112,531.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,175.54 : 145,763.34 = 75,021.26 : x
  2. Step 2: Convert to fraction form
    97,175.54/145,763.34 = 75,021.26/x
  3. Step 3: Cross multiply
    97,175.54x = 145,763.34 × 75,021.26
  4. Step 4: Simplify right side
    97,175.54x = 10,935,349,428.61
  5. Step 5: Solve for x
    x = 10,935,349,428.61/97,175.54
  6. Step 6: Final answer
    x = 112,531.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.