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Finding the Fourth Proportional to 147,221.67, 220,666.98 and 74,971.86

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Solution

The fourth proportional to 147,221.67, 220,666.98 and 74,971.86 is: 112,373.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,221.67 : 220,666.98 = 74,971.86 : x
  2. Step 2: Convert to fraction form
    147,221.67/220,666.98 = 74,971.86/x
  3. Step 3: Cross multiply
    147,221.67x = 220,666.98 × 74,971.86
  4. Step 4: Simplify right side
    147,221.67x = 16,543,813,931.18
  5. Step 5: Solve for x
    x = 16,543,813,931.18/147,221.67
  6. Step 6: Final answer
    x = 112,373.50

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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.