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Finding the Fourth Proportional to 116,346.84, 160,549.20 and 65,356.80

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Solution

The fourth proportional to 116,346.84, 160,549.20 and 65,356.80 is: 90,187.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,346.84 : 160,549.20 = 65,356.80 : x
  2. Step 2: Convert to fraction form
    116,346.84/160,549.20 = 65,356.80/x
  3. Step 3: Cross multiply
    116,346.84x = 160,549.20 × 65,356.80
  4. Step 4: Simplify right side
    116,346.84x = 10,492,981,954.56
  5. Step 5: Solve for x
    x = 10,492,981,954.56/116,346.84
  6. Step 6: Final answer
    x = 90,187.08

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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.