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Finding the Fourth Proportional to 177,314.30, 265,971.45 and 137,656.70

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Solution

The fourth proportional to 177,314.30, 265,971.45 and 137,656.70 is: 206,485.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,314.30 : 265,971.45 = 137,656.70 : x
  2. Step 2: Convert to fraction form
    177,314.30/265,971.45 = 137,656.70/x
  3. Step 3: Cross multiply
    177,314.30x = 265,971.45 × 137,656.70
  4. Step 4: Simplify right side
    177,314.30x = 36,612,752,101.22
  5. Step 5: Solve for x
    x = 36,612,752,101.22/177,314.30
  6. Step 6: Final answer
    x = 206,485.05

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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.