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Finding the Fourth Proportional to 259,731.84, 358,410.24 and 146,565.12

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Solution

The fourth proportional to 259,731.84, 358,410.24 and 146,565.12 is: 202,248.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,731.84 : 358,410.24 = 146,565.12 : x
  2. Step 2: Convert to fraction form
    259,731.84/358,410.24 = 146,565.12/x
  3. Step 3: Cross multiply
    259,731.84x = 358,410.24 × 146,565.12
  4. Step 4: Simplify right side
    259,731.84x = 52,530,439,834.83
  5. Step 5: Solve for x
    x = 52,530,439,834.83/259,731.84
  6. Step 6: Final answer
    x = 202,248.75

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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.