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Finding the Fourth Proportional to 121,083.17, 167,092.17 and 70,098.06

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Solution

The fourth proportional to 121,083.17, 167,092.17 and 70,098.06 is: 96,733.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,083.17 : 167,092.17 = 70,098.06 : x
  2. Step 2: Convert to fraction form
    121,083.17/167,092.17 = 70,098.06/x
  3. Step 3: Cross multiply
    121,083.17x = 167,092.17 × 70,098.06
  4. Step 4: Simplify right side
    121,083.17x = 11,712,837,534.36
  5. Step 5: Solve for x
    x = 11,712,837,534.36/121,083.17
  6. Step 6: Final answer
    x = 96,733.82

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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.