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Finding the Fourth Proportional to 295,123.60, 442,102.20 and 161,765.20

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Solution

The fourth proportional to 295,123.60, 442,102.20 and 161,765.20 is: 242,328.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,123.60 : 442,102.20 = 161,765.20 : x
  2. Step 2: Convert to fraction form
    295,123.60/442,102.20 = 161,765.20/x
  3. Step 3: Cross multiply
    295,123.60x = 442,102.20 × 161,765.20
  4. Step 4: Simplify right side
    295,123.60x = 71,516,750,803.44
  5. Step 5: Solve for x
    x = 71,516,750,803.44/295,123.60
  6. Step 6: Final answer
    x = 242,328.13

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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.