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Finding the Fourth Proportional to 265,723.74, 398,368.53 and 123,657.84

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Solution

The fourth proportional to 265,723.74, 398,368.53 and 123,657.84 is: 185,385.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,723.74 : 398,368.53 = 123,657.84 : x
  2. Step 2: Convert to fraction form
    265,723.74/398,368.53 = 123,657.84/x
  3. Step 3: Cross multiply
    265,723.74x = 398,368.53 × 123,657.84
  4. Step 4: Simplify right side
    265,723.74x = 49,261,391,943.78
  5. Step 5: Solve for x
    x = 49,261,391,943.78/265,723.74
  6. Step 6: Final answer
    x = 185,385.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.