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Finding the Fourth Proportional to 161,860.52, 242,838.16 and 83,029.70

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Solution

The fourth proportional to 161,860.52, 242,838.16 and 83,029.70 is: 124,568.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,860.52 : 242,838.16 = 83,029.70 : x
  2. Step 2: Convert to fraction form
    161,860.52/242,838.16 = 83,029.70/x
  3. Step 3: Cross multiply
    161,860.52x = 242,838.16 × 83,029.70
  4. Step 4: Simplify right side
    161,860.52x = 20,162,779,573.35
  5. Step 5: Solve for x
    x = 20,162,779,573.35/161,860.52
  6. Step 6: Final answer
    x = 124,568.85

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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.