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Finding the Fourth Proportional to 101,990.07, 152,298 and 83,307.15

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Solution

The fourth proportional to 101,990.07, 152,298 and 83,307.15 is: 124,399.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,990.07 : 152,298 = 83,307.15 : x
  2. Step 2: Convert to fraction form
    101,990.07/152,298 = 83,307.15/x
  3. Step 3: Cross multiply
    101,990.07x = 152,298 × 83,307.15
  4. Step 4: Simplify right side
    101,990.07x = 12,687,512,330.70
  5. Step 5: Solve for x
    x = 12,687,512,330.70/101,990.07
  6. Step 6: Final answer
    x = 124,399.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.