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Finding the Fourth Proportional to 155,877.86, 215,111.40 and 84,257.84

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Solution

The fourth proportional to 155,877.86, 215,111.40 and 84,257.84 is: 116,275.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,877.86 : 215,111.40 = 84,257.84 : x
  2. Step 2: Convert to fraction form
    155,877.86/215,111.40 = 84,257.84/x
  3. Step 3: Cross multiply
    155,877.86x = 215,111.40 × 84,257.84
  4. Step 4: Simplify right side
    155,877.86x = 18,124,821,923.38
  5. Step 5: Solve for x
    x = 18,124,821,923.38/155,877.86
  6. Step 6: Final answer
    x = 116,275.79

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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.