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Finding the Fourth Proportional to 267,683.57, 369,413.67 and 146,829.95

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Solution

The fourth proportional to 267,683.57, 369,413.67 and 146,829.95 is: 202,631.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,683.57 : 369,413.67 = 146,829.95 : x
  2. Step 2: Convert to fraction form
    267,683.57/369,413.67 = 146,829.95/x
  3. Step 3: Cross multiply
    267,683.57x = 369,413.67 × 146,829.95
  4. Step 4: Simplify right side
    267,683.57x = 54,240,990,695.42
  5. Step 5: Solve for x
    x = 54,240,990,695.42/267,683.57
  6. Step 6: Final answer
    x = 202,631.00

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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.