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Finding the Fourth Proportional to 362,078.70, 543,118.05 and 194,117.10

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Solution

The fourth proportional to 362,078.70, 543,118.05 and 194,117.10 is: 291,175.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,078.70 : 543,118.05 = 194,117.10 : x
  2. Step 2: Convert to fraction form
    362,078.70/543,118.05 = 194,117.10/x
  3. Step 3: Cross multiply
    362,078.70x = 543,118.05 × 194,117.10
  4. Step 4: Simplify right side
    362,078.70x = 105,428,500,823.66
  5. Step 5: Solve for x
    x = 105,428,500,823.66/362,078.70
  6. Step 6: Final answer
    x = 291,175.65

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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.