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Finding the Fourth Proportional to 286,038.06, 429,077.64 and 75,673.50

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Solution

The fourth proportional to 286,038.06, 429,077.64 and 75,673.50 is: 113,515.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,038.06 : 429,077.64 = 75,673.50 : x
  2. Step 2: Convert to fraction form
    286,038.06/429,077.64 = 75,673.50/x
  3. Step 3: Cross multiply
    286,038.06x = 429,077.64 × 75,673.50
  4. Step 4: Simplify right side
    286,038.06x = 32,469,806,790.54
  5. Step 5: Solve for x
    x = 32,469,806,790.54/286,038.06
  6. Step 6: Final answer
    x = 113,515.69

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