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Finding the Fourth Proportional to 233,187.60, 349,781.40 and 177,200.40

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Solution

The fourth proportional to 233,187.60, 349,781.40 and 177,200.40 is: 265,800.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,187.60 : 349,781.40 = 177,200.40 : x
  2. Step 2: Convert to fraction form
    233,187.60/349,781.40 = 177,200.40/x
  3. Step 3: Cross multiply
    233,187.60x = 349,781.40 × 177,200.40
  4. Step 4: Simplify right side
    233,187.60x = 61,981,403,992.56
  5. Step 5: Solve for x
    x = 61,981,403,992.56/233,187.60
  6. Step 6: Final answer
    x = 265,800.60

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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.