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Finding the Fourth Proportional to 227,657.59, 314,208.60 and 135,782.76

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Solution

The fourth proportional to 227,657.59, 314,208.60 and 135,782.76 is: 187,404.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,657.59 : 314,208.60 = 135,782.76 : x
  2. Step 2: Convert to fraction form
    227,657.59/314,208.60 = 135,782.76/x
  3. Step 3: Cross multiply
    227,657.59x = 314,208.60 × 135,782.76
  4. Step 4: Simplify right side
    227,657.59x = 42,664,110,244.82
  5. Step 5: Solve for x
    x = 42,664,110,244.82/227,657.59
  6. Step 6: Final answer
    x = 187,404.73

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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.