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Finding the Fourth Proportional to 174,413.52, 261,646.74 and 74,574

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Solution

The fourth proportional to 174,413.52, 261,646.74 and 74,574 is: 111,872.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,413.52 : 261,646.74 = 74,574 : x
  2. Step 2: Convert to fraction form
    174,413.52/261,646.74 = 74,574/x
  3. Step 3: Cross multiply
    174,413.52x = 261,646.74 × 74,574
  4. Step 4: Simplify right side
    174,413.52x = 19,512,043,988.76
  5. Step 5: Solve for x
    x = 19,512,043,988.76/174,413.52
  6. Step 6: Final answer
    x = 111,872.31

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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.