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Finding the Fourth Proportional to 231,409.01, 346,754.48 and 160,470.02

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Solution

The fourth proportional to 231,409.01, 346,754.48 and 160,470.02 is: 240,456.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,409.01 : 346,754.48 = 160,470.02 : x
  2. Step 2: Convert to fraction form
    231,409.01/346,754.48 = 160,470.02/x
  3. Step 3: Cross multiply
    231,409.01x = 346,754.48 × 160,470.02
  4. Step 4: Simplify right side
    231,409.01x = 55,643,695,804.57
  5. Step 5: Solve for x
    x = 55,643,695,804.57/231,409.01
  6. Step 6: Final answer
    x = 240,456.05

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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.