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Finding the Fourth Proportional to 210,875.46, 315,963.26 and 148,414.74

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Solution

The fourth proportional to 210,875.46, 315,963.26 and 148,414.74 is: 222,375.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,875.46 : 315,963.26 = 148,414.74 : x
  2. Step 2: Convert to fraction form
    210,875.46/315,963.26 = 148,414.74/x
  3. Step 3: Cross multiply
    210,875.46x = 315,963.26 × 148,414.74
  4. Step 4: Simplify right side
    210,875.46x = 46,893,605,082.45
  5. Step 5: Solve for x
    x = 46,893,605,082.45/210,875.46
  6. Step 6: Final answer
    x = 222,375.83

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1.5x scale

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.