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Finding the Fourth Proportional to 256,550.59, 354,061.63 and 149,113.76

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Solution

The fourth proportional to 256,550.59, 354,061.63 and 149,113.76 is: 205,789.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,550.59 : 354,061.63 = 149,113.76 : x
  2. Step 2: Convert to fraction form
    256,550.59/354,061.63 = 149,113.76/x
  3. Step 3: Cross multiply
    256,550.59x = 354,061.63 × 149,113.76
  4. Step 4: Simplify right side
    256,550.59x = 52,795,461,328.71
  5. Step 5: Solve for x
    x = 52,795,461,328.71/256,550.59
  6. Step 6: Final answer
    x = 205,789.67

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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.