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Finding the Fourth Proportional to 105,989.94, 146,272.64 and 60,666.87

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Solution

The fourth proportional to 105,989.94, 146,272.64 and 60,666.87 is: 83,724.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,989.94 : 146,272.64 = 60,666.87 : x
  2. Step 2: Convert to fraction form
    105,989.94/146,272.64 = 60,666.87/x
  3. Step 3: Cross multiply
    105,989.94x = 146,272.64 × 60,666.87
  4. Step 4: Simplify right side
    105,989.94x = 8,873,903,480.62
  5. Step 5: Solve for x
    x = 8,873,903,480.62/105,989.94
  6. Step 6: Final answer
    x = 83,724.01

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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.