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Finding the Fourth Proportional to 384,126.55, 576,189.82 and 103,643.80

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Solution

The fourth proportional to 384,126.55, 576,189.82 and 103,643.80 is: 155,465.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,126.55 : 576,189.82 = 103,643.80 : x
  2. Step 2: Convert to fraction form
    384,126.55/576,189.82 = 103,643.80/x
  3. Step 3: Cross multiply
    384,126.55x = 576,189.82 × 103,643.80
  4. Step 4: Simplify right side
    384,126.55x = 59,718,499,585.17
  5. Step 5: Solve for x
    x = 59,718,499,585.17/384,126.55
  6. Step 6: Final answer
    x = 155,465.69

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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.