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Finding the Fourth Proportional to 256,206.77, 384,342.95 and 98,414.72

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Solution

The fourth proportional to 256,206.77, 384,342.95 and 98,414.72 is: 147,634.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,206.77 : 384,342.95 = 98,414.72 : x
  2. Step 2: Convert to fraction form
    256,206.77/384,342.95 = 98,414.72/x
  3. Step 3: Cross multiply
    256,206.77x = 384,342.95 × 98,414.72
  4. Step 4: Simplify right side
    256,206.77x = 37,825,003,808.22
  5. Step 5: Solve for x
    x = 37,825,003,808.22/256,206.77
  6. Step 6: Final answer
    x = 147,634.68

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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.