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Finding the Fourth Proportional to 101,117.30, 151,712.40 and 97,472.30

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Solution

The fourth proportional to 101,117.30, 151,712.40 and 97,472.30 is: 146,243.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,117.30 : 151,712.40 = 97,472.30 : x
  2. Step 2: Convert to fraction form
    101,117.30/151,712.40 = 97,472.30/x
  3. Step 3: Cross multiply
    101,117.30x = 151,712.40 × 97,472.30
  4. Step 4: Simplify right side
    101,117.30x = 14,787,756,566.52
  5. Step 5: Solve for x
    x = 14,787,756,566.52/101,117.30
  6. Step 6: Final answer
    x = 146,243.59

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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.