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Finding the Fourth Proportional to 165,002.64, 227,709.12 and 93,381.84

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Solution

The fourth proportional to 165,002.64, 227,709.12 and 93,381.84 is: 128,870.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,002.64 : 227,709.12 = 93,381.84 : x
  2. Step 2: Convert to fraction form
    165,002.64/227,709.12 = 93,381.84/x
  3. Step 3: Cross multiply
    165,002.64x = 227,709.12 × 93,381.84
  4. Step 4: Simplify right side
    165,002.64x = 21,263,896,610.38
  5. Step 5: Solve for x
    x = 21,263,896,610.38/165,002.64
  6. Step 6: Final answer
    x = 128,870.04

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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.