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Finding the Fourth Proportional to 116,344.45, 160,570.49 and 71,013.01

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Solution

The fourth proportional to 116,344.45, 160,570.49 and 71,013.01 is: 98,007.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,344.45 : 160,570.49 = 71,013.01 : x
  2. Step 2: Convert to fraction form
    116,344.45/160,570.49 = 71,013.01/x
  3. Step 3: Cross multiply
    116,344.45x = 160,570.49 × 71,013.01
  4. Step 4: Simplify right side
    116,344.45x = 11,402,593,457.01
  5. Step 5: Solve for x
    x = 11,402,593,457.01/116,344.45
  6. Step 6: Final answer
    x = 98,007.20

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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.