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Finding the Fourth Proportional to 194,807.40, 292,211.10 and 180,373.20

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Solution

The fourth proportional to 194,807.40, 292,211.10 and 180,373.20 is: 270,559.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,807.40 : 292,211.10 = 180,373.20 : x
  2. Step 2: Convert to fraction form
    194,807.40/292,211.10 = 180,373.20/x
  3. Step 3: Cross multiply
    194,807.40x = 292,211.10 × 180,373.20
  4. Step 4: Simplify right side
    194,807.40x = 52,707,051,182.52
  5. Step 5: Solve for x
    x = 52,707,051,182.52/194,807.40
  6. Step 6: Final answer
    x = 270,559.80

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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.