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Finding the Fourth Proportional to 161,854.60, 242,522.70 and 102,584.20

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Solution

The fourth proportional to 161,854.60, 242,522.70 and 102,584.20 is: 153,712.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,854.60 : 242,522.70 = 102,584.20 : x
  2. Step 2: Convert to fraction form
    161,854.60/242,522.70 = 102,584.20/x
  3. Step 3: Cross multiply
    161,854.60x = 242,522.70 × 102,584.20
  4. Step 4: Simplify right side
    161,854.60x = 24,878,997,161.34
  5. Step 5: Solve for x
    x = 24,878,997,161.34/161,854.60
  6. Step 6: Final answer
    x = 153,712.02

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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.