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Finding the Fourth Proportional to 169,380.66, 233,158.65 and 146,400.02

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Solution

The fourth proportional to 169,380.66, 233,158.65 and 146,400.02 is: 201,524.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,380.66 : 233,158.65 = 146,400.02 : x
  2. Step 2: Convert to fraction form
    169,380.66/233,158.65 = 146,400.02/x
  3. Step 3: Cross multiply
    169,380.66x = 233,158.65 × 146,400.02
  4. Step 4: Simplify right side
    169,380.66x = 34,134,429,857.38
  5. Step 5: Solve for x
    x = 34,134,429,857.38/169,380.66
  6. Step 6: Final answer
    x = 201,524.95

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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.