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Finding the Fourth Proportional to 116,462.98, 160,719.45 and 66,164.74

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Solution

The fourth proportional to 116,462.98, 160,719.45 and 66,164.74 is: 91,307.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,462.98 : 160,719.45 = 66,164.74 : x
  2. Step 2: Convert to fraction form
    116,462.98/160,719.45 = 66,164.74/x
  3. Step 3: Cross multiply
    116,462.98x = 160,719.45 × 66,164.74
  4. Step 4: Simplify right side
    116,462.98x = 10,633,960,622.19
  5. Step 5: Solve for x
    x = 10,633,960,622.19/116,462.98
  6. Step 6: Final answer
    x = 91,307.65

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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.