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Finding the Fourth Proportional to 310,959.29, 466,537.55 and 111,275.25

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Solution

The fourth proportional to 310,959.29, 466,537.55 and 111,275.25 is: 166,948.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,959.29 : 466,537.55 = 111,275.25 : x
  2. Step 2: Convert to fraction form
    310,959.29/466,537.55 = 111,275.25/x
  3. Step 3: Cross multiply
    310,959.29x = 466,537.55 × 111,275.25
  4. Step 4: Simplify right side
    310,959.29x = 51,914,081,954.26
  5. Step 5: Solve for x
    x = 51,914,081,954.26/310,959.29
  6. Step 6: Final answer
    x = 166,948.16

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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.