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Finding the Fourth Proportional to 116,226.29, 160,409.16 and 65,260.08

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Solution

The fourth proportional to 116,226.29, 160,409.16 and 65,260.08 is: 90,068.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,226.29 : 160,409.16 = 65,260.08 : x
  2. Step 2: Convert to fraction form
    116,226.29/160,409.16 = 65,260.08/x
  3. Step 3: Cross multiply
    116,226.29x = 160,409.16 × 65,260.08
  4. Step 4: Simplify right side
    116,226.29x = 10,468,314,614.33
  5. Step 5: Solve for x
    x = 10,468,314,614.33/116,226.29
  6. Step 6: Final answer
    x = 90,068.39

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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.