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Finding the Fourth Proportional to 256,226.79, 353,565.99 and 148,775.79

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Solution

The fourth proportional to 256,226.79, 353,565.99 and 148,775.79 is: 205,294.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,226.79 : 353,565.99 = 148,775.79 : x
  2. Step 2: Convert to fraction form
    256,226.79/353,565.99 = 148,775.79/x
  3. Step 3: Cross multiply
    256,226.79x = 353,565.99 × 148,775.79
  4. Step 4: Simplify right side
    256,226.79x = 52,602,059,479.38
  5. Step 5: Solve for x
    x = 52,602,059,479.38/256,226.79
  6. Step 6: Final answer
    x = 205,294.92

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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.