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Finding the Fourth Proportional to 265,696.32, 366,656.64 and 144,842.40

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Solution

The fourth proportional to 265,696.32, 366,656.64 and 144,842.40 is: 199,880.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,696.32 : 366,656.64 = 144,842.40 : x
  2. Step 2: Convert to fraction form
    265,696.32/366,656.64 = 144,842.40/x
  3. Step 3: Cross multiply
    265,696.32x = 366,656.64 × 144,842.40
  4. Step 4: Simplify right side
    265,696.32x = 53,107,427,713.54
  5. Step 5: Solve for x
    x = 53,107,427,713.54/265,696.32
  6. Step 6: Final answer
    x = 199,880.18

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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.