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Finding the Fourth Proportional to 276,593.60, 414,987.60 and 99,106.40

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Solution

The fourth proportional to 276,593.60, 414,987.60 and 99,106.40 is: 148,694.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,593.60 : 414,987.60 = 99,106.40 : x
  2. Step 2: Convert to fraction form
    276,593.60/414,987.60 = 99,106.40/x
  3. Step 3: Cross multiply
    276,593.60x = 414,987.60 × 99,106.40
  4. Step 4: Simplify right side
    276,593.60x = 41,127,927,080.64
  5. Step 5: Solve for x
    x = 41,127,927,080.64/276,593.60
  6. Step 6: Final answer
    x = 148,694.43

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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.