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Finding the Fourth Proportional to 265,817.64, 366,828.06 and 144,959.16

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Solution

The fourth proportional to 265,817.64, 366,828.06 and 144,959.16 is: 200,043.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,817.64 : 366,828.06 = 144,959.16 : x
  2. Step 2: Convert to fraction form
    265,817.64/366,828.06 = 144,959.16/x
  3. Step 3: Cross multiply
    265,817.64x = 366,828.06 × 144,959.16
  4. Step 4: Simplify right side
    265,817.64x = 53,175,087,442.03
  5. Step 5: Solve for x
    x = 53,175,087,442.03/265,817.64
  6. Step 6: Final answer
    x = 200,043.49

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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.