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Finding the Fourth Proportional to 253,742.40, 380,613.60 and 148,507.20

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Solution

The fourth proportional to 253,742.40, 380,613.60 and 148,507.20 is: 222,760.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,742.40 : 380,613.60 = 148,507.20 : x
  2. Step 2: Convert to fraction form
    253,742.40/380,613.60 = 148,507.20/x
  3. Step 3: Cross multiply
    253,742.40x = 380,613.60 × 148,507.20
  4. Step 4: Simplify right side
    253,742.40x = 56,523,860,017.92
  5. Step 5: Solve for x
    x = 56,523,860,017.92/253,742.40
  6. Step 6: Final answer
    x = 222,760.80

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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.