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Finding the Fourth Proportional to 242,201.64, 334,100.10 and 145,379.72

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Solution

The fourth proportional to 242,201.64, 334,100.10 and 145,379.72 is: 200,541.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,201.64 : 334,100.10 = 145,379.72 : x
  2. Step 2: Convert to fraction form
    242,201.64/334,100.10 = 145,379.72/x
  3. Step 3: Cross multiply
    242,201.64x = 334,100.10 × 145,379.72
  4. Step 4: Simplify right side
    242,201.64x = 48,571,378,989.97
  5. Step 5: Solve for x
    x = 48,571,378,989.97/242,201.64
  6. Step 6: Final answer
    x = 200,541.08

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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.