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Finding the Fourth Proportional to 194,799.60, 292,199.40 and 106,007.40

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Solution

The fourth proportional to 194,799.60, 292,199.40 and 106,007.40 is: 159,011.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,799.60 : 292,199.40 = 106,007.40 : x
  2. Step 2: Convert to fraction form
    194,799.60/292,199.40 = 106,007.40/x
  3. Step 3: Cross multiply
    194,799.60x = 292,199.40 × 106,007.40
  4. Step 4: Simplify right side
    194,799.60x = 30,975,298,675.56
  5. Step 5: Solve for x
    x = 30,975,298,675.56/194,799.60
  6. Step 6: Final answer
    x = 159,011.10

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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.