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Finding the Fourth Proportional to 147,188.70, 220,199.85 and 127,683.90

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Solution

The fourth proportional to 147,188.70, 220,199.85 and 127,683.90 is: 191,019.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,188.70 : 220,199.85 = 127,683.90 : x
  2. Step 2: Convert to fraction form
    147,188.70/220,199.85 = 127,683.90/x
  3. Step 3: Cross multiply
    147,188.70x = 220,199.85 × 127,683.90
  4. Step 4: Simplify right side
    147,188.70x = 28,115,975,627.42
  5. Step 5: Solve for x
    x = 28,115,975,627.42/147,188.70
  6. Step 6: Final answer
    x = 191,019.93

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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.