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Finding the Fourth Proportional to 116,498.55, 160,764.74 and 70,585.38

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Solution

The fourth proportional to 116,498.55, 160,764.74 and 70,585.38 is: 97,405.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,498.55 : 160,764.74 = 70,585.38 : x
  2. Step 2: Convert to fraction form
    116,498.55/160,764.74 = 70,585.38/x
  3. Step 3: Cross multiply
    116,498.55x = 160,764.74 × 70,585.38
  4. Step 4: Simplify right side
    116,498.55x = 11,347,639,818.73
  5. Step 5: Solve for x
    x = 11,347,639,818.73/116,498.55
  6. Step 6: Final answer
    x = 97,405.85

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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.