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Finding the Fourth Proportional to 142,952.69, 214,413.97 and 58,721.76

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Solution

The fourth proportional to 142,952.69, 214,413.97 and 58,721.76 is: 88,076.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,952.69 : 214,413.97 = 58,721.76 : x
  2. Step 2: Convert to fraction form
    142,952.69/214,413.97 = 58,721.76/x
  3. Step 3: Cross multiply
    142,952.69x = 214,413.97 × 58,721.76
  4. Step 4: Simplify right side
    142,952.69x = 12,590,765,686.99
  5. Step 5: Solve for x
    x = 12,590,765,686.99/142,952.69
  6. Step 6: Final answer
    x = 88,076.45

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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.