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Finding the Fourth Proportional to 116,443.13, 160,690.08 and 65,464.36

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Solution

The fourth proportional to 116,443.13, 160,690.08 and 65,464.36 is: 90,340.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,443.13 : 160,690.08 = 65,464.36 : x
  2. Step 2: Convert to fraction form
    116,443.13/160,690.08 = 65,464.36/x
  3. Step 3: Cross multiply
    116,443.13x = 160,690.08 × 65,464.36
  4. Step 4: Simplify right side
    116,443.13x = 10,519,473,089.31
  5. Step 5: Solve for x
    x = 10,519,473,089.31/116,443.13
  6. Step 6: Final answer
    x = 90,340.01

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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.