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Finding the Fourth Proportional to 261,080.64, 360,290.40 and 147,924.96

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Solution

The fourth proportional to 261,080.64, 360,290.40 and 147,924.96 is: 204,135.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,080.64 : 360,290.40 = 147,924.96 : x
  2. Step 2: Convert to fraction form
    261,080.64/360,290.40 = 147,924.96/x
  3. Step 3: Cross multiply
    261,080.64x = 360,290.40 × 147,924.96
  4. Step 4: Simplify right side
    261,080.64x = 53,295,943,008.38
  5. Step 5: Solve for x
    x = 53,295,943,008.38/261,080.64
  6. Step 6: Final answer
    x = 204,135.94

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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.