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Finding the Fourth Proportional to 295,205.02, 407,382.69 and 161,069.02

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Solution

The fourth proportional to 295,205.02, 407,382.69 and 161,069.02 is: 222,275.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,205.02 : 407,382.69 = 161,069.02 : x
  2. Step 2: Convert to fraction form
    295,205.02/407,382.69 = 161,069.02/x
  3. Step 3: Cross multiply
    295,205.02x = 407,382.69 × 161,069.02
  4. Step 4: Simplify right side
    295,205.02x = 65,616,730,643.26
  5. Step 5: Solve for x
    x = 65,616,730,643.26/295,205.02
  6. Step 6: Final answer
    x = 222,275.12

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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.