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Finding the Fourth Proportional to 156,098.88, 233,911.80 and 103,319.28

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Solution

The fourth proportional to 156,098.88, 233,911.80 and 103,319.28 is: 154,822.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,098.88 : 233,911.80 = 103,319.28 : x
  2. Step 2: Convert to fraction form
    156,098.88/233,911.80 = 103,319.28/x
  3. Step 3: Cross multiply
    156,098.88x = 233,911.80 × 103,319.28
  4. Step 4: Simplify right side
    156,098.88x = 24,167,598,759.50
  5. Step 5: Solve for x
    x = 24,167,598,759.50/156,098.88
  6. Step 6: Final answer
    x = 154,822.37

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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.