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Finding the Fourth Proportional to 291,637.52, 402,452.16 and 164,305.52

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Solution

The fourth proportional to 291,637.52, 402,452.16 and 164,305.52 is: 226,737.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,637.52 : 402,452.16 = 164,305.52 : x
  2. Step 2: Convert to fraction form
    291,637.52/402,452.16 = 164,305.52/x
  3. Step 3: Cross multiply
    291,637.52x = 402,452.16 × 164,305.52
  4. Step 4: Simplify right side
    291,637.52x = 66,125,111,423.92
  5. Step 5: Solve for x
    x = 66,125,111,423.92/291,637.52
  6. Step 6: Final answer
    x = 226,737.33

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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.