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Finding the Fourth Proportional to 207,452, 286,266.74 and 116,778.98

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Solution

The fourth proportional to 207,452, 286,266.74 and 116,778.98 is: 161,145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,452 : 286,266.74 = 116,778.98 : x
  2. Step 2: Convert to fraction form
    207,452/286,266.74 = 116,778.98/x
  3. Step 3: Cross multiply
    207,452x = 286,266.74 × 116,778.98
  4. Step 4: Simplify right side
    207,452x = 33,429,937,905.13
  5. Step 5: Solve for x
    x = 33,429,937,905.13/207,452
  6. Step 6: Final answer
    x = 161,145.41

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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.