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Finding the Fourth Proportional to 122,263.58, 183,396 and 55,657.13

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Solution

The fourth proportional to 122,263.58, 183,396 and 55,657.13 is: 83,485.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,263.58 : 183,396 = 55,657.13 : x
  2. Step 2: Convert to fraction form
    122,263.58/183,396 = 55,657.13/x
  3. Step 3: Cross multiply
    122,263.58x = 183,396 × 55,657.13
  4. Step 4: Simplify right side
    122,263.58x = 10,207,294,096.50
  5. Step 5: Solve for x
    x = 10,207,294,096.50/122,263.58
  6. Step 6: Final answer
    x = 83,485.97

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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.