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Finding the Fourth Proportional to 227,659.60, 314,211.36 and 135,784.76

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Solution

The fourth proportional to 227,659.60, 314,211.36 and 135,784.76 is: 187,407.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,659.60 : 314,211.36 = 135,784.76 : x
  2. Step 2: Convert to fraction form
    227,659.60/314,211.36 = 135,784.76/x
  3. Step 3: Cross multiply
    227,659.60x = 314,211.36 × 135,784.76
  4. Step 4: Simplify right side
    227,659.60x = 42,665,114,106.87
  5. Step 5: Solve for x
    x = 42,665,114,106.87/227,659.60
  6. Step 6: Final answer
    x = 187,407.49

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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.