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Finding the Fourth Proportional to 147,019.86, 220,657.83 and 83,966.22

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Solution

The fourth proportional to 147,019.86, 220,657.83 and 83,966.22 is: 126,022.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,019.86 : 220,657.83 = 83,966.22 : x
  2. Step 2: Convert to fraction form
    147,019.86/220,657.83 = 83,966.22/x
  3. Step 3: Cross multiply
    147,019.86x = 220,657.83 × 83,966.22
  4. Step 4: Simplify right side
    147,019.86x = 18,527,803,898.50
  5. Step 5: Solve for x
    x = 18,527,803,898.50/147,019.86
  6. Step 6: Final answer
    x = 126,022.46

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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.