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Finding the Fourth Proportional to 122,312.10, 183,468.15 and 55,881.98

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Solution

The fourth proportional to 122,312.10, 183,468.15 and 55,881.98 is: 83,822.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,312.10 : 183,468.15 = 55,881.98 : x
  2. Step 2: Convert to fraction form
    122,312.10/183,468.15 = 55,881.98/x
  3. Step 3: Cross multiply
    122,312.10x = 183,468.15 × 55,881.98
  4. Step 4: Simplify right side
    122,312.10x = 10,252,562,571.60
  5. Step 5: Solve for x
    x = 10,252,562,571.60/122,312.10
  6. Step 6: Final answer
    x = 83,822.96

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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.