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Finding the Fourth Proportional to 123,780, 170,838 and 73,477.92

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Solution

The fourth proportional to 123,780, 170,838 and 73,477.92 is: 101,412.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,780 : 170,838 = 73,477.92 : x
  2. Step 2: Convert to fraction form
    123,780/170,838 = 73,477.92/x
  3. Step 3: Cross multiply
    123,780x = 170,838 × 73,477.92
  4. Step 4: Simplify right side
    123,780x = 12,552,820,896.96
  5. Step 5: Solve for x
    x = 12,552,820,896.96/123,780
  6. Step 6: Final answer
    x = 101,412.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.