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Finding the Fourth Proportional to 242,223.60, 334,201.44 and 145,402.32

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Solution

The fourth proportional to 242,223.60, 334,201.44 and 145,402.32 is: 200,614.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,223.60 : 334,201.44 = 145,402.32 : x
  2. Step 2: Convert to fraction form
    242,223.60/334,201.44 = 145,402.32/x
  3. Step 3: Cross multiply
    242,223.60x = 334,201.44 × 145,402.32
  4. Step 4: Simplify right side
    242,223.60x = 48,593,664,723.34
  5. Step 5: Solve for x
    x = 48,593,664,723.34/242,223.60
  6. Step 6: Final answer
    x = 200,614.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.