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Finding the Fourth Proportional to 116,197.92, 160,347.24 and 65,204.28

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Solution

The fourth proportional to 116,197.92, 160,347.24 and 65,204.28 is: 89,978.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,197.92 : 160,347.24 = 65,204.28 : x
  2. Step 2: Convert to fraction form
    116,197.92/160,347.24 = 65,204.28/x
  3. Step 3: Cross multiply
    116,197.92x = 160,347.24 × 65,204.28
  4. Step 4: Simplify right side
    116,197.92x = 10,455,326,334.19
  5. Step 5: Solve for x
    x = 10,455,326,334.19/116,197.92
  6. Step 6: Final answer
    x = 89,978.60

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1.5x scale

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.