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Finding the Fourth Proportional to 233,034.60, 349,811.10 and 144,388.20

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Solution

The fourth proportional to 233,034.60, 349,811.10 and 144,388.20 is: 216,742.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,034.60 : 349,811.10 = 144,388.20 : x
  2. Step 2: Convert to fraction form
    233,034.60/349,811.10 = 144,388.20/x
  3. Step 3: Cross multiply
    233,034.60x = 349,811.10 × 144,388.20
  4. Step 4: Simplify right side
    233,034.60x = 50,508,595,069.02
  5. Step 5: Solve for x
    x = 50,508,595,069.02/233,034.60
  6. Step 6: Final answer
    x = 216,742.90

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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.