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Finding the Fourth Proportional to 261,573.98, 360,959.73 and 145,294.97

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Solution

The fourth proportional to 261,573.98, 360,959.73 and 145,294.97 is: 200,500.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,573.98 : 360,959.73 = 145,294.97 : x
  2. Step 2: Convert to fraction form
    261,573.98/360,959.73 = 145,294.97/x
  3. Step 3: Cross multiply
    261,573.98x = 360,959.73 × 145,294.97
  4. Step 4: Simplify right side
    261,573.98x = 52,445,631,336.76
  5. Step 5: Solve for x
    x = 52,445,631,336.76/261,573.98
  6. Step 6: Final answer
    x = 200,500.19

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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.