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Finding the Fourth Proportional to 223,200.64, 307,968.96 and 132,587.16

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Solution

The fourth proportional to 223,200.64, 307,968.96 and 132,587.16 is: 182,941.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,200.64 : 307,968.96 = 132,587.16 : x
  2. Step 2: Convert to fraction form
    223,200.64/307,968.96 = 132,587.16/x
  3. Step 3: Cross multiply
    223,200.64x = 307,968.96 × 132,587.16
  4. Step 4: Simplify right side
    223,200.64x = 40,832,729,774.55
  5. Step 5: Solve for x
    x = 40,832,729,774.55/223,200.64
  6. Step 6: Final answer
    x = 182,941.81

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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.