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Finding the Fourth Proportional to 163,527.70, 245,323.95 and 137,413.30

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Solution

The fourth proportional to 163,527.70, 245,323.95 and 137,413.30 is: 206,147.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,527.70 : 245,323.95 = 137,413.30 : x
  2. Step 2: Convert to fraction form
    163,527.70/245,323.95 = 137,413.30/x
  3. Step 3: Cross multiply
    163,527.70x = 245,323.95 × 137,413.30
  4. Step 4: Simplify right side
    163,527.70x = 33,710,773,538.54
  5. Step 5: Solve for x
    x = 33,710,773,538.54/163,527.70
  6. Step 6: Final answer
    x = 206,147.18

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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.