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Finding the Fourth Proportional to 265,532.16, 398,356.56 and 147,375.84

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Solution

The fourth proportional to 265,532.16, 398,356.56 and 147,375.84 is: 221,096.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,532.16 : 398,356.56 = 147,375.84 : x
  2. Step 2: Convert to fraction form
    265,532.16/398,356.56 = 147,375.84/x
  3. Step 3: Cross multiply
    265,532.16x = 398,356.56 × 147,375.84
  4. Step 4: Simplify right side
    265,532.16x = 58,708,132,649.51
  5. Step 5: Solve for x
    x = 58,708,132,649.51/265,532.16
  6. Step 6: Final answer
    x = 221,096.13

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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.