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Finding the Fourth Proportional to 117,878.92, 176,855.27 and 75,806.51

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Solution

The fourth proportional to 117,878.92, 176,855.27 and 75,806.51 is: 113,733.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,878.92 : 176,855.27 = 75,806.51 : x
  2. Step 2: Convert to fraction form
    117,878.92/176,855.27 = 75,806.51/x
  3. Step 3: Cross multiply
    117,878.92x = 176,855.27 × 75,806.51
  4. Step 4: Simplify right side
    117,878.92x = 13,406,779,530.50
  5. Step 5: Solve for x
    x = 13,406,779,530.50/117,878.92
  6. Step 6: Final answer
    x = 113,733.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.