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Finding the Fourth Proportional to 152,029.80, 228,044.70 and 149,956.20

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Solution

The fourth proportional to 152,029.80, 228,044.70 and 149,956.20 is: 224,934.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,029.80 : 228,044.70 = 149,956.20 : x
  2. Step 2: Convert to fraction form
    152,029.80/228,044.70 = 149,956.20/x
  3. Step 3: Cross multiply
    152,029.80x = 228,044.70 × 149,956.20
  4. Step 4: Simplify right side
    152,029.80x = 34,196,716,642.14
  5. Step 5: Solve for x
    x = 34,196,716,642.14/152,029.80
  6. Step 6: Final answer
    x = 224,934.30

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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.