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Finding the Fourth Proportional to 101,920.70, 152,881.05 and 97,838.30

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Solution

The fourth proportional to 101,920.70, 152,881.05 and 97,838.30 is: 146,757.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,920.70 : 152,881.05 = 97,838.30 : x
  2. Step 2: Convert to fraction form
    101,920.70/152,881.05 = 97,838.30/x
  3. Step 3: Cross multiply
    101,920.70x = 152,881.05 × 97,838.30
  4. Step 4: Simplify right side
    101,920.70x = 14,957,622,034.22
  5. Step 5: Solve for x
    x = 14,957,622,034.22/101,920.70
  6. Step 6: Final answer
    x = 146,757.45

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1.5x scale

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.