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Finding the Fourth Proportional to 116,199.13, 160,354.80 and 65,898.13

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Solution

The fourth proportional to 116,199.13, 160,354.80 and 65,898.13 is: 90,939.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,199.13 : 160,354.80 = 65,898.13 : x
  2. Step 2: Convert to fraction form
    116,199.13/160,354.80 = 65,898.13/x
  3. Step 3: Cross multiply
    116,199.13x = 160,354.80 × 65,898.13
  4. Step 4: Simplify right side
    116,199.13x = 10,567,080,325.26
  5. Step 5: Solve for x
    x = 10,567,080,325.26/116,199.13
  6. Step 6: Final answer
    x = 90,939.41

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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.