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Finding the Fourth Proportional to 261,198.84, 360,414.45 and 146,483.40

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Solution

The fourth proportional to 261,198.84, 360,414.45 and 146,483.40 is: 202,124.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,198.84 : 360,414.45 = 146,483.40 : x
  2. Step 2: Convert to fraction form
    261,198.84/360,414.45 = 146,483.40/x
  3. Step 3: Cross multiply
    261,198.84x = 360,414.45 × 146,483.40
  4. Step 4: Simplify right side
    261,198.84x = 52,794,734,045.13
  5. Step 5: Solve for x
    x = 52,794,734,045.13/261,198.84
  6. Step 6: Final answer
    x = 202,124.69

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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.