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Finding the Fourth Proportional to 291,373.20, 402,102.48 and 164,053.32

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Solution

The fourth proportional to 291,373.20, 402,102.48 and 164,053.32 is: 226,397.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,373.20 : 402,102.48 = 164,053.32 : x
  2. Step 2: Convert to fraction form
    291,373.20/402,102.48 = 164,053.32/x
  3. Step 3: Cross multiply
    291,373.20x = 402,102.48 × 164,053.32
  4. Step 4: Simplify right side
    291,373.20x = 65,966,246,824.23
  5. Step 5: Solve for x
    x = 65,966,246,824.23/291,373.20
  6. Step 6: Final answer
    x = 226,397.78

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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.