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Finding the Fourth Proportional to 103,811.34, 143,277.93 and 99,078.21

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Solution

The fourth proportional to 103,811.34, 143,277.93 and 99,078.21 is: 136,745.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,811.34 : 143,277.93 = 99,078.21 : x
  2. Step 2: Convert to fraction form
    103,811.34/143,277.93 = 99,078.21/x
  3. Step 3: Cross multiply
    103,811.34x = 143,277.93 × 99,078.21
  4. Step 4: Simplify right side
    103,811.34x = 14,195,720,836.91
  5. Step 5: Solve for x
    x = 14,195,720,836.91/103,811.34
  6. Step 6: Final answer
    x = 136,745.38

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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.