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Finding the Fourth Proportional to 145,846, 201,267.56 and 78,778

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Solution

The fourth proportional to 145,846, 201,267.56 and 78,778 is: 108,713.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,846 : 201,267.56 = 78,778 : x
  2. Step 2: Convert to fraction form
    145,846/201,267.56 = 78,778/x
  3. Step 3: Cross multiply
    145,846x = 201,267.56 × 78,778
  4. Step 4: Simplify right side
    145,846x = 15,855,455,841.68
  5. Step 5: Solve for x
    x = 15,855,455,841.68/145,846
  6. Step 6: Final answer
    x = 108,713.68

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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.