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Finding the Fourth Proportional to 161,805.60, 242,708.40 and 102,902.40

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Solution

The fourth proportional to 161,805.60, 242,708.40 and 102,902.40 is: 154,353.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,805.60 : 242,708.40 = 102,902.40 : x
  2. Step 2: Convert to fraction form
    161,805.60/242,708.40 = 102,902.40/x
  3. Step 3: Cross multiply
    161,805.60x = 242,708.40 × 102,902.40
  4. Step 4: Simplify right side
    161,805.60x = 24,975,276,860.16
  5. Step 5: Solve for x
    x = 24,975,276,860.16/161,805.60
  6. Step 6: Final answer
    x = 154,353.60

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1.5x scale

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.