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Finding the Fourth Proportional to 256,595.94, 354,088.10 and 141,867.95

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Solution

The fourth proportional to 256,595.94, 354,088.10 and 141,867.95 is: 195,769.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,595.94 : 354,088.10 = 141,867.95 : x
  2. Step 2: Convert to fraction form
    256,595.94/354,088.10 = 141,867.95/x
  3. Step 3: Cross multiply
    256,595.94x = 354,088.10 × 141,867.95
  4. Step 4: Simplify right side
    256,595.94x = 50,233,750,386.61
  5. Step 5: Solve for x
    x = 50,233,750,386.61/256,595.94
  6. Step 6: Final answer
    x = 195,769.86

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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.