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Finding the Fourth Proportional to 101,117.80, 151,713.15 and 97,472.80

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Solution

The fourth proportional to 101,117.80, 151,713.15 and 97,472.80 is: 146,244.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,117.80 : 151,713.15 = 97,472.80 : x
  2. Step 2: Convert to fraction form
    101,117.80/151,713.15 = 97,472.80/x
  3. Step 3: Cross multiply
    101,117.80x = 151,713.15 × 97,472.80
  4. Step 4: Simplify right side
    101,117.80x = 14,787,905,527.32
  5. Step 5: Solve for x
    x = 14,787,905,527.32/101,117.80
  6. Step 6: Final answer
    x = 146,244.34

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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.