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Finding the Fourth Proportional to 267,275.31, 368,840.37 and 146,413.95

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Solution

The fourth proportional to 267,275.31, 368,840.37 and 146,413.95 is: 202,051.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,275.31 : 368,840.37 = 146,413.95 : x
  2. Step 2: Convert to fraction form
    267,275.31/368,840.37 = 146,413.95/x
  3. Step 3: Cross multiply
    267,275.31x = 368,840.37 × 146,413.95
  4. Step 4: Simplify right side
    267,275.31x = 54,003,375,491.16
  5. Step 5: Solve for x
    x = 54,003,375,491.16/267,275.31
  6. Step 6: Final answer
    x = 202,051.49

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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.