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Finding the Fourth Proportional to 207,301.95, 286,073.24 and 116,657.82

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Solution

The fourth proportional to 207,301.95, 286,073.24 and 116,657.82 is: 160,985.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,301.95 : 286,073.24 = 116,657.82 : x
  2. Step 2: Convert to fraction form
    207,301.95/286,073.24 = 116,657.82/x
  3. Step 3: Cross multiply
    207,301.95x = 286,073.24 × 116,657.82
  4. Step 4: Simplify right side
    207,301.95x = 33,372,679,955.45
  5. Step 5: Solve for x
    x = 33,372,679,955.45/207,301.95
  6. Step 6: Final answer
    x = 160,985.85

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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.