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Finding the Fourth Proportional to 291,877.20, 402,785.13 and 164,552.88

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Solution

The fourth proportional to 291,877.20, 402,785.13 and 164,552.88 is: 227,079.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,877.20 : 402,785.13 = 164,552.88 : x
  2. Step 2: Convert to fraction form
    291,877.20/402,785.13 = 164,552.88/x
  3. Step 3: Cross multiply
    291,877.20x = 402,785.13 × 164,552.88
  4. Step 4: Simplify right side
    291,877.20x = 66,279,453,162.67
  5. Step 5: Solve for x
    x = 66,279,453,162.67/291,877.20
  6. Step 6: Final answer
    x = 227,079.93

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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.