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Finding the Fourth Proportional to 194,800.40, 292,114.20 and 89,565.20

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Solution

The fourth proportional to 194,800.40, 292,114.20 and 89,565.20 is: 134,308.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,800.40 : 292,114.20 = 89,565.20 : x
  2. Step 2: Convert to fraction form
    194,800.40/292,114.20 = 89,565.20/x
  3. Step 3: Cross multiply
    194,800.40x = 292,114.20 × 89,565.20
  4. Step 4: Simplify right side
    194,800.40x = 26,163,266,745.84
  5. Step 5: Solve for x
    x = 26,163,266,745.84/194,800.40
  6. Step 6: Final answer
    x = 134,308.08

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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.