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Finding the Fourth Proportional to 153,924.40, 230,449.20 and 136,428.40

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Solution

The fourth proportional to 153,924.40, 230,449.20 and 136,428.40 is: 204,254.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,924.40 : 230,449.20 = 136,428.40 : x
  2. Step 2: Convert to fraction form
    153,924.40/230,449.20 = 136,428.40/x
  3. Step 3: Cross multiply
    153,924.40x = 230,449.20 × 136,428.40
  4. Step 4: Simplify right side
    153,924.40x = 31,439,815,637.28
  5. Step 5: Solve for x
    x = 31,439,815,637.28/153,924.40
  6. Step 6: Final answer
    x = 204,254.92

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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.