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Finding the Fourth Proportional to 291,977.88, 402,928.38 and 157,841.88

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Solution

The fourth proportional to 291,977.88, 402,928.38 and 157,841.88 is: 217,821.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,977.88 : 402,928.38 = 157,841.88 : x
  2. Step 2: Convert to fraction form
    291,977.88/402,928.38 = 157,841.88/x
  3. Step 3: Cross multiply
    291,977.88x = 402,928.38 × 157,841.88
  4. Step 4: Simplify right side
    291,977.88x = 63,598,973,004.55
  5. Step 5: Solve for x
    x = 63,598,973,004.55/291,977.88
  6. Step 6: Final answer
    x = 217,821.20

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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.