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Finding the Fourth Proportional to 265,761.32, 366,743.85 and 144,902.84

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Solution

The fourth proportional to 265,761.32, 366,743.85 and 144,902.84 is: 199,962.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,761.32 : 366,743.85 = 144,902.84 : x
  2. Step 2: Convert to fraction form
    265,761.32/366,743.85 = 144,902.84/x
  3. Step 3: Cross multiply
    265,761.32x = 366,743.85 × 144,902.84
  4. Step 4: Simplify right side
    265,761.32x = 53,142,225,417.53
  5. Step 5: Solve for x
    x = 53,142,225,417.53/265,761.32
  6. Step 6: Final answer
    x = 199,962.23

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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.