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Finding the Fourth Proportional to 153,197.70, 211,264.38 and 102,212.52

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Solution

The fourth proportional to 153,197.70, 211,264.38 and 102,212.52 is: 140,954.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,197.70 : 211,264.38 = 102,212.52 : x
  2. Step 2: Convert to fraction form
    153,197.70/211,264.38 = 102,212.52/x
  3. Step 3: Cross multiply
    153,197.70x = 211,264.38 × 102,212.52
  4. Step 4: Simplify right side
    153,197.70x = 21,593,864,666.04
  5. Step 5: Solve for x
    x = 21,593,864,666.04/153,197.70
  6. Step 6: Final answer
    x = 140,954.24

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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.