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Finding the Fourth Proportional to 100,884, 151,270.08 and 46,789.68

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Solution

The fourth proportional to 100,884, 151,270.08 and 46,789.68 is: 70,158.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,884 : 151,270.08 = 46,789.68 : x
  2. Step 2: Convert to fraction form
    100,884/151,270.08 = 46,789.68/x
  3. Step 3: Cross multiply
    100,884x = 151,270.08 × 46,789.68
  4. Step 4: Simplify right side
    100,884x = 7,077,878,636.77
  5. Step 5: Solve for x
    x = 7,077,878,636.77/100,884
  6. Step 6: Final answer
    x = 70,158.58

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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.