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Finding the Fourth Proportional to 106,089.95, 146,327.76 and 72,039.30

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Solution

The fourth proportional to 106,089.95, 146,327.76 and 72,039.30 is: 99,362.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,089.95 : 146,327.76 = 72,039.30 : x
  2. Step 2: Convert to fraction form
    106,089.95/146,327.76 = 72,039.30/x
  3. Step 3: Cross multiply
    106,089.95x = 146,327.76 × 72,039.30
  4. Step 4: Simplify right side
    106,089.95x = 10,541,349,400.97
  5. Step 5: Solve for x
    x = 10,541,349,400.97/106,089.95
  6. Step 6: Final answer
    x = 99,362.38

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Why These Related Problems?

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