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Finding the Fourth Proportional to 152,863.80, 229,101.30 and 136,145.40

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Solution

The fourth proportional to 152,863.80, 229,101.30 and 136,145.40 is: 204,044.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,863.80 : 229,101.30 = 136,145.40 : x
  2. Step 2: Convert to fraction form
    152,863.80/229,101.30 = 136,145.40/x
  3. Step 3: Cross multiply
    152,863.80x = 229,101.30 × 136,145.40
  4. Step 4: Simplify right side
    152,863.80x = 31,191,088,129.02
  5. Step 5: Solve for x
    x = 31,191,088,129.02/152,863.80
  6. Step 6: Final answer
    x = 204,044.96

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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.