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Finding the Fourth Proportional to 194,801.60, 292,000.80 and 105,867.20

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Solution

The fourth proportional to 194,801.60, 292,000.80 and 105,867.20 is: 158,691.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,801.60 : 292,000.80 = 105,867.20 : x
  2. Step 2: Convert to fraction form
    194,801.60/292,000.80 = 105,867.20/x
  3. Step 3: Cross multiply
    194,801.60x = 292,000.80 × 105,867.20
  4. Step 4: Simplify right side
    194,801.60x = 30,913,307,093.76
  5. Step 5: Solve for x
    x = 30,913,307,093.76/194,801.60
  6. Step 6: Final answer
    x = 158,691.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.