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Finding the Fourth Proportional to 116,643.02, 160,965.45 and 64,959.62

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Solution

The fourth proportional to 116,643.02, 160,965.45 and 64,959.62 is: 89,643.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,643.02 : 160,965.45 = 64,959.62 : x
  2. Step 2: Convert to fraction form
    116,643.02/160,965.45 = 64,959.62/x
  3. Step 3: Cross multiply
    116,643.02x = 160,965.45 × 64,959.62
  4. Step 4: Simplify right side
    116,643.02x = 10,456,254,465.13
  5. Step 5: Solve for x
    x = 10,456,254,465.13/116,643.02
  6. Step 6: Final answer
    x = 89,643.21

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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.