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Finding the Fourth Proportional to 133,695.90, 200,543.85 and 114,012.90

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Solution

The fourth proportional to 133,695.90, 200,543.85 and 114,012.90 is: 171,019.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,695.90 : 200,543.85 = 114,012.90 : x
  2. Step 2: Convert to fraction form
    133,695.90/200,543.85 = 114,012.90/x
  3. Step 3: Cross multiply
    133,695.90x = 200,543.85 × 114,012.90
  4. Step 4: Simplify right side
    133,695.90x = 22,864,585,915.67
  5. Step 5: Solve for x
    x = 22,864,585,915.67/133,695.90
  6. Step 6: Final answer
    x = 171,019.35

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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.