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Finding the Fourth Proportional to 177,293.26, 265,862.07 and 66,407.50

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Solution

The fourth proportional to 177,293.26, 265,862.07 and 66,407.50 is: 99,582.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,293.26 : 265,862.07 = 66,407.50 : x
  2. Step 2: Convert to fraction form
    177,293.26/265,862.07 = 66,407.50/x
  3. Step 3: Cross multiply
    177,293.26x = 265,862.07 × 66,407.50
  4. Step 4: Simplify right side
    177,293.26x = 17,655,235,413.53
  5. Step 5: Solve for x
    x = 17,655,235,413.53/177,293.26
  6. Step 6: Final answer
    x = 99,582.10

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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.