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Finding the Fourth Proportional to 153,896.10, 230,876.55 and 65,103.90

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Solution

The fourth proportional to 153,896.10, 230,876.55 and 65,103.90 is: 97,669.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,896.10 : 230,876.55 = 65,103.90 : x
  2. Step 2: Convert to fraction form
    153,896.10/230,876.55 = 65,103.90/x
  3. Step 3: Cross multiply
    153,896.10x = 230,876.55 × 65,103.90
  4. Step 4: Simplify right side
    153,896.10x = 15,030,963,823.55
  5. Step 5: Solve for x
    x = 15,030,963,823.55/153,896.10
  6. Step 6: Final answer
    x = 97,669.56

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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.