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Finding the Fourth Proportional to 134,257.60, 201,413.28 and 51,160

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Solution

The fourth proportional to 134,257.60, 201,413.28 and 51,160 is: 76,750.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,257.60 : 201,413.28 = 51,160 : x
  2. Step 2: Convert to fraction form
    134,257.60/201,413.28 = 51,160/x
  3. Step 3: Cross multiply
    134,257.60x = 201,413.28 × 51,160
  4. Step 4: Simplify right side
    134,257.60x = 10,304,303,404.80
  5. Step 5: Solve for x
    x = 10,304,303,404.80/134,257.60
  6. Step 6: Final answer
    x = 76,750.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.