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Finding the Fourth Proportional to 122,055.84, 183,083.81 and 58,864.19

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Solution

The fourth proportional to 122,055.84, 183,083.81 and 58,864.19 is: 88,296.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,055.84 : 183,083.81 = 58,864.19 : x
  2. Step 2: Convert to fraction form
    122,055.84/183,083.81 = 58,864.19/x
  3. Step 3: Cross multiply
    122,055.84x = 183,083.81 × 58,864.19
  4. Step 4: Simplify right side
    122,055.84x = 10,777,078,968.02
  5. Step 5: Solve for x
    x = 10,777,078,968.02/122,055.84
  6. Step 6: Final answer
    x = 88,296.30

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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.