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Finding the Fourth Proportional to 242,254.74, 334,236.29 and 137,461.49

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Solution

The fourth proportional to 242,254.74, 334,236.29 and 137,461.49 is: 189,654.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,254.74 : 334,236.29 = 137,461.49 : x
  2. Step 2: Convert to fraction form
    242,254.74/334,236.29 = 137,461.49/x
  3. Step 3: Cross multiply
    242,254.74x = 334,236.29 × 137,461.49
  4. Step 4: Simplify right side
    242,254.74x = 45,944,618,435.47
  5. Step 5: Solve for x
    x = 45,944,618,435.47/242,254.74
  6. Step 6: Final answer
    x = 189,654.16

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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.