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Finding the Fourth Proportional to 153,178.47, 211,382.60 and 85,195.24

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Solution

The fourth proportional to 153,178.47, 211,382.60 and 85,195.24 is: 117,567.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,178.47 : 211,382.60 = 85,195.24 : x
  2. Step 2: Convert to fraction form
    153,178.47/211,382.60 = 85,195.24/x
  3. Step 3: Cross multiply
    153,178.47x = 211,382.60 × 85,195.24
  4. Step 4: Simplify right side
    153,178.47x = 18,008,790,384.39
  5. Step 5: Solve for x
    x = 18,008,790,384.39/153,178.47
  6. Step 6: Final answer
    x = 117,567.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.