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Finding the Fourth Proportional to 185,906.40, 255,956.40 and 157,567.20

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Solution

The fourth proportional to 185,906.40, 255,956.40 and 157,567.20 is: 216,938.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,906.40 : 255,956.40 = 157,567.20 : x
  2. Step 2: Convert to fraction form
    185,906.40/255,956.40 = 157,567.20/x
  3. Step 3: Cross multiply
    185,906.40x = 255,956.40 × 157,567.20
  4. Step 4: Simplify right side
    185,906.40x = 40,330,333,270.08
  5. Step 5: Solve for x
    x = 40,330,333,270.08/185,906.40
  6. Step 6: Final answer
    x = 216,938.92

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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.