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Finding the Fourth Proportional to 114,333.90, 157,702.05 and 80,414.34

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Solution

The fourth proportional to 114,333.90, 157,702.05 and 80,414.34 is: 110,916.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,333.90 : 157,702.05 = 80,414.34 : x
  2. Step 2: Convert to fraction form
    114,333.90/157,702.05 = 80,414.34/x
  3. Step 3: Cross multiply
    114,333.90x = 157,702.05 × 80,414.34
  4. Step 4: Simplify right side
    114,333.90x = 12,681,506,267.40
  5. Step 5: Solve for x
    x = 12,681,506,267.40/114,333.90
  6. Step 6: Final answer
    x = 110,916.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.