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Finding the Fourth Proportional to 142,907.84, 214,413.76 and 49,423.04

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Solution

The fourth proportional to 142,907.84, 214,413.76 and 49,423.04 is: 74,152.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,907.84 : 214,413.76 = 49,423.04 : x
  2. Step 2: Convert to fraction form
    142,907.84/214,413.76 = 49,423.04/x
  3. Step 3: Cross multiply
    142,907.84x = 214,413.76 × 49,423.04
  4. Step 4: Simplify right side
    142,907.84x = 10,596,979,837.03
  5. Step 5: Solve for x
    x = 10,596,979,837.03/142,907.84
  6. Step 6: Final answer
    x = 74,152.54

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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.