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Finding the Fourth Proportional to 164,381.76, 226,763.25 and 99,833.83

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Solution

The fourth proportional to 164,381.76, 226,763.25 and 99,833.83 is: 137,719.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,381.76 : 226,763.25 = 99,833.83 : x
  2. Step 2: Convert to fraction form
    164,381.76/226,763.25 = 99,833.83/x
  3. Step 3: Cross multiply
    164,381.76x = 226,763.25 × 99,833.83
  4. Step 4: Simplify right side
    164,381.76x = 22,638,642,616.93
  5. Step 5: Solve for x
    x = 22,638,642,616.93/164,381.76
  6. Step 6: Final answer
    x = 137,719.92

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1.5x scale

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.