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Finding the Fourth Proportional to 261,461.75, 360,787.48 and 146,716.70

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Solution

The fourth proportional to 261,461.75, 360,787.48 and 146,716.70 is: 202,452.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,461.75 : 360,787.48 = 146,716.70 : x
  2. Step 2: Convert to fraction form
    261,461.75/360,787.48 = 146,716.70/x
  3. Step 3: Cross multiply
    261,461.75x = 360,787.48 × 146,716.70
  4. Step 4: Simplify right side
    261,461.75x = 52,933,546,296.19
  5. Step 5: Solve for x
    x = 52,933,546,296.19/261,461.75
  6. Step 6: Final answer
    x = 202,452.36

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1.5x scale

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.