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Finding the Fourth Proportional to 163,087.81, 224,965.60 and 102,562.45

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Solution

The fourth proportional to 163,087.81, 224,965.60 and 102,562.45 is: 141,476.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,087.81 : 224,965.60 = 102,562.45 : x
  2. Step 2: Convert to fraction form
    163,087.81/224,965.60 = 102,562.45/x
  3. Step 3: Cross multiply
    163,087.81x = 224,965.60 × 102,562.45
  4. Step 4: Simplify right side
    163,087.81x = 23,073,023,101.72
  5. Step 5: Solve for x
    x = 23,073,023,101.72/163,087.81
  6. Step 6: Final answer
    x = 141,476.07

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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.