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Finding the Fourth Proportional to 115,946.40, 160,020.86 and 68,204.19

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Solution

The fourth proportional to 115,946.40, 160,020.86 and 68,204.19 is: 94,130.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,946.40 : 160,020.86 = 68,204.19 : x
  2. Step 2: Convert to fraction form
    115,946.40/160,020.86 = 68,204.19/x
  3. Step 3: Cross multiply
    115,946.40x = 160,020.86 × 68,204.19
  4. Step 4: Simplify right side
    115,946.40x = 10,914,092,798.38
  5. Step 5: Solve for x
    x = 10,914,092,798.38/115,946.40
  6. Step 6: Final answer
    x = 94,130.50

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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.