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Finding the Fourth Proportional to 291,890.48, 402,793.22 and 164,557.87

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Solution

The fourth proportional to 291,890.48, 402,793.22 and 164,557.87 is: 227,081.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,890.48 : 402,793.22 = 164,557.87 : x
  2. Step 2: Convert to fraction form
    291,890.48/402,793.22 = 164,557.87/x
  3. Step 3: Cross multiply
    291,890.48x = 402,793.22 × 164,557.87
  4. Step 4: Simplify right side
    291,890.48x = 66,282,791,496.89
  5. Step 5: Solve for x
    x = 66,282,791,496.89/291,890.48
  6. Step 6: Final answer
    x = 227,081.04

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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.