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Finding the Fourth Proportional to 122,419.70, 183,564.95 and 38,164.16

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Solution

The fourth proportional to 122,419.70, 183,564.95 and 38,164.16 is: 57,226.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,419.70 : 183,564.95 = 38,164.16 : x
  2. Step 2: Convert to fraction form
    122,419.70/183,564.95 = 38,164.16/x
  3. Step 3: Cross multiply
    122,419.70x = 183,564.95 × 38,164.16
  4. Step 4: Simplify right side
    122,419.70x = 7,005,602,604.96
  5. Step 5: Solve for x
    x = 7,005,602,604.96/122,419.70
  6. Step 6: Final answer
    x = 57,226.10

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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.