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Finding the Fourth Proportional to 194,746.70, 291,901.35 and 82,407.80

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Solution

The fourth proportional to 194,746.70, 291,901.35 and 82,407.80 is: 123,519.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,746.70 : 291,901.35 = 82,407.80 : x
  2. Step 2: Convert to fraction form
    194,746.70/291,901.35 = 82,407.80/x
  3. Step 3: Cross multiply
    194,746.70x = 291,901.35 × 82,407.80
  4. Step 4: Simplify right side
    194,746.70x = 24,054,948,070.53
  5. Step 5: Solve for x
    x = 24,054,948,070.53/194,746.70
  6. Step 6: Final answer
    x = 123,519.16

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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.