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Finding the Fourth Proportional to 134,099.84, 185,091.04 and 77,544

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Solution

The fourth proportional to 134,099.84, 185,091.04 and 77,544 is: 107,029.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,099.84 : 185,091.04 = 77,544 : x
  2. Step 2: Convert to fraction form
    134,099.84/185,091.04 = 77,544/x
  3. Step 3: Cross multiply
    134,099.84x = 185,091.04 × 77,544
  4. Step 4: Simplify right side
    134,099.84x = 14,352,699,605.76
  5. Step 5: Solve for x
    x = 14,352,699,605.76/134,099.84
  6. Step 6: Final answer
    x = 107,029.95

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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.