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Finding the Fourth Proportional to 256,460.50, 353,905.90 and 147,581.65

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Solution

The fourth proportional to 256,460.50, 353,905.90 and 147,581.65 is: 203,657.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,460.50 : 353,905.90 = 147,581.65 : x
  2. Step 2: Convert to fraction form
    256,460.50/353,905.90 = 147,581.65/x
  3. Step 3: Cross multiply
    256,460.50x = 353,905.90 × 147,581.65
  4. Step 4: Simplify right side
    256,460.50x = 52,230,016,666.74
  5. Step 5: Solve for x
    x = 52,230,016,666.74/256,460.50
  6. Step 6: Final answer
    x = 203,657.16

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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.