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Finding the Fourth Proportional to 194,865.40, 292,298.10 and 155,499.40

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Solution

The fourth proportional to 194,865.40, 292,298.10 and 155,499.40 is: 233,249.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,865.40 : 292,298.10 = 155,499.40 : x
  2. Step 2: Convert to fraction form
    194,865.40/292,298.10 = 155,499.40/x
  3. Step 3: Cross multiply
    194,865.40x = 292,298.10 × 155,499.40
  4. Step 4: Simplify right side
    194,865.40x = 45,452,179,171.14
  5. Step 5: Solve for x
    x = 45,452,179,171.14/194,865.40
  6. Step 6: Final answer
    x = 233,249.10

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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.