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Finding the Fourth Proportional to 114,862.10, 171,947.55 and 101,038.10

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Solution

The fourth proportional to 114,862.10, 171,947.55 and 101,038.10 is: 151,253.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,862.10 : 171,947.55 = 101,038.10 : x
  2. Step 2: Convert to fraction form
    114,862.10/171,947.55 = 101,038.10/x
  3. Step 3: Cross multiply
    114,862.10x = 171,947.55 × 101,038.10
  4. Step 4: Simplify right side
    114,862.10x = 17,373,253,751.66
  5. Step 5: Solve for x
    x = 17,373,253,751.66/114,862.10
  6. Step 6: Final answer
    x = 151,253.14

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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.