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Finding the Fourth Proportional to 281,398.59, 421,944.78 and 101,459.52

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Solution

The fourth proportional to 281,398.59, 421,944.78 and 101,459.52 is: 152,134.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,398.59 : 421,944.78 = 101,459.52 : x
  2. Step 2: Convert to fraction form
    281,398.59/421,944.78 = 101,459.52/x
  3. Step 3: Cross multiply
    281,398.59x = 421,944.78 × 101,459.52
  4. Step 4: Simplify right side
    281,398.59x = 42,810,314,845.31
  5. Step 5: Solve for x
    x = 42,810,314,845.31/281,398.59
  6. Step 6: Final answer
    x = 152,134.08

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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.