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Finding the Fourth Proportional to 155,823.70, 233,747.70 and 67,080.10

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Solution

The fourth proportional to 155,823.70, 233,747.70 and 67,080.10 is: 100,625.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,823.70 : 233,747.70 = 67,080.10 : x
  2. Step 2: Convert to fraction form
    155,823.70/233,747.70 = 67,080.10/x
  3. Step 3: Cross multiply
    155,823.70x = 233,747.70 × 67,080.10
  4. Step 4: Simplify right side
    155,823.70x = 15,679,819,090.77
  5. Step 5: Solve for x
    x = 15,679,819,090.77/155,823.70
  6. Step 6: Final answer
    x = 100,625.38

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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.