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Finding the Fourth Proportional to 153,252.66, 211,498.17 and 85,284.78

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Solution

The fourth proportional to 153,252.66, 211,498.17 and 85,284.78 is: 117,698.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,252.66 : 211,498.17 = 85,284.78 : x
  2. Step 2: Convert to fraction form
    153,252.66/211,498.17 = 85,284.78/x
  3. Step 3: Cross multiply
    153,252.66x = 211,498.17 × 85,284.78
  4. Step 4: Simplify right side
    153,252.66x = 18,037,574,898.85
  5. Step 5: Solve for x
    x = 18,037,574,898.85/153,252.66
  6. Step 6: Final answer
    x = 117,698.28

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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.