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Finding the Fourth Proportional to 153,947.70, 231,159.15 and 83,963.70

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Solution

The fourth proportional to 153,947.70, 231,159.15 and 83,963.70 is: 126,075.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,947.70 : 231,159.15 = 83,963.70 : x
  2. Step 2: Convert to fraction form
    153,947.70/231,159.15 = 83,963.70/x
  3. Step 3: Cross multiply
    153,947.70x = 231,159.15 × 83,963.70
  4. Step 4: Simplify right side
    153,947.70x = 19,408,977,522.86
  5. Step 5: Solve for x
    x = 19,408,977,522.86/153,947.70
  6. Step 6: Final answer
    x = 126,075.14

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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.