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Finding the Fourth Proportional to 270,047.60, 404,293.80 and 165,071.60

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Solution

The fourth proportional to 270,047.60, 404,293.80 and 165,071.60 is: 247,132.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,047.60 : 404,293.80 = 165,071.60 : x
  2. Step 2: Convert to fraction form
    270,047.60/404,293.80 = 165,071.60/x
  3. Step 3: Cross multiply
    270,047.60x = 404,293.80 × 165,071.60
  4. Step 4: Simplify right side
    270,047.60x = 66,737,424,436.08
  5. Step 5: Solve for x
    x = 66,737,424,436.08/270,047.60
  6. Step 6: Final answer
    x = 247,132.08

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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.