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Finding the Fourth Proportional to 142,413.06, 213,662.41 and 42,576.50

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Solution

The fourth proportional to 142,413.06, 213,662.41 and 42,576.50 is: 63,877.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,413.06 : 213,662.41 = 42,576.50 : x
  2. Step 2: Convert to fraction form
    142,413.06/213,662.41 = 42,576.50/x
  3. Step 3: Cross multiply
    142,413.06x = 213,662.41 × 42,576.50
  4. Step 4: Simplify right side
    142,413.06x = 9,096,997,599.37
  5. Step 5: Solve for x
    x = 9,096,997,599.37/142,413.06
  6. Step 6: Final answer
    x = 63,877.55

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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.