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Finding the Fourth Proportional to 357,843.06, 536,830.20 and 147,366.18

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Solution

The fourth proportional to 357,843.06, 536,830.20 and 147,366.18 is: 221,076.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,843.06 : 536,830.20 = 147,366.18 : x
  2. Step 2: Convert to fraction form
    357,843.06/536,830.20 = 147,366.18/x
  3. Step 3: Cross multiply
    357,843.06x = 536,830.20 × 147,366.18
  4. Step 4: Simplify right side
    357,843.06x = 79,110,615,882.64
  5. Step 5: Solve for x
    x = 79,110,615,882.64/357,843.06
  6. Step 6: Final answer
    x = 221,076.29

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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.