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Finding the Fourth Proportional to 116,192.25, 160,345.31 and 65,891.25

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Solution

The fourth proportional to 116,192.25, 160,345.31 and 65,891.25 is: 90,929.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,192.25 : 160,345.31 = 65,891.25 : x
  2. Step 2: Convert to fraction form
    116,192.25/160,345.31 = 65,891.25/x
  3. Step 3: Cross multiply
    116,192.25x = 160,345.31 × 65,891.25
  4. Step 4: Simplify right side
    116,192.25x = 10,565,352,578.08
  5. Step 5: Solve for x
    x = 10,565,352,578.08/116,192.25
  6. Step 6: Final answer
    x = 90,929.93

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1.5x scale

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.