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Finding the Fourth Proportional to 155,074, 214,002.12 and 84,418

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Solution

The fourth proportional to 155,074, 214,002.12 and 84,418 is: 116,496.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,074 : 214,002.12 = 84,418 : x
  2. Step 2: Convert to fraction form
    155,074/214,002.12 = 84,418/x
  3. Step 3: Cross multiply
    155,074x = 214,002.12 × 84,418
  4. Step 4: Simplify right side
    155,074x = 18,065,630,966.16
  5. Step 5: Solve for x
    x = 18,065,630,966.16/155,074
  6. Step 6: Final answer
    x = 116,496.84

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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.