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Finding the Fourth Proportional to 122,884.61, 184,398.53 and 51,802.88

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Solution

The fourth proportional to 122,884.61, 184,398.53 and 51,802.88 is: 77,734.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,884.61 : 184,398.53 = 51,802.88 : x
  2. Step 2: Convert to fraction form
    122,884.61/184,398.53 = 51,802.88/x
  3. Step 3: Cross multiply
    122,884.61x = 184,398.53 × 51,802.88
  4. Step 4: Simplify right side
    122,884.61x = 9,552,374,921.77
  5. Step 5: Solve for x
    x = 9,552,374,921.77/122,884.61
  6. Step 6: Final answer
    x = 77,734.51

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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.