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Finding the Fourth Proportional to 227,659.70, 314,211.52 and 135,784.88

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Solution

The fourth proportional to 227,659.70, 314,211.52 and 135,784.88 is: 187,407.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,659.70 : 314,211.52 = 135,784.88 : x
  2. Step 2: Convert to fraction form
    227,659.70/314,211.52 = 135,784.88/x
  3. Step 3: Cross multiply
    227,659.70x = 314,211.52 × 135,784.88
  4. Step 4: Simplify right side
    227,659.70x = 42,665,173,537.82
  5. Step 5: Solve for x
    x = 42,665,173,537.82/227,659.70
  6. Step 6: Final answer
    x = 187,407.67

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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.