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Finding the Fourth Proportional to 153,953.74, 230,934.10 and 122,385.61

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Solution

The fourth proportional to 153,953.74, 230,934.10 and 122,385.61 is: 183,581.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,953.74 : 230,934.10 = 122,385.61 : x
  2. Step 2: Convert to fraction form
    153,953.74/230,934.10 = 122,385.61/x
  3. Step 3: Cross multiply
    153,953.74x = 230,934.10 × 122,385.61
  4. Step 4: Simplify right side
    153,953.74x = 28,263,010,698.30
  5. Step 5: Solve for x
    x = 28,263,010,698.30/153,953.74
  6. Step 6: Final answer
    x = 183,581.19

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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.