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Finding the Fourth Proportional to 116,363, 160,596 and 71,031.48

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Solution

The fourth proportional to 116,363, 160,596 and 71,031.48 is: 98,032.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,363 : 160,596 = 71,031.48 : x
  2. Step 2: Convert to fraction form
    116,363/160,596 = 71,031.48/x
  3. Step 3: Cross multiply
    116,363x = 160,596 × 71,031.48
  4. Step 4: Simplify right side
    116,363x = 11,407,371,562.08
  5. Step 5: Solve for x
    x = 11,407,371,562.08/116,363
  6. Step 6: Final answer
    x = 98,032.64

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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.