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Finding the Fourth Proportional to 265,904.80, 399,116.40 and 132,935.20

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Solution

The fourth proportional to 265,904.80, 399,116.40 and 132,935.20 is: 199,532.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,904.80 : 399,116.40 = 132,935.20 : x
  2. Step 2: Convert to fraction form
    265,904.80/399,116.40 = 132,935.20/x
  3. Step 3: Cross multiply
    265,904.80x = 399,116.40 × 132,935.20
  4. Step 4: Simplify right side
    265,904.80x = 53,056,618,457.28
  5. Step 5: Solve for x
    x = 53,056,618,457.28/265,904.80
  6. Step 6: Final answer
    x = 199,532.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.