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Finding the Fourth Proportional to 103,851, 143,314.38 and 59,147.64

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Solution

The fourth proportional to 103,851, 143,314.38 and 59,147.64 is: 81,623.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,851 : 143,314.38 = 59,147.64 : x
  2. Step 2: Convert to fraction form
    103,851/143,314.38 = 59,147.64/x
  3. Step 3: Cross multiply
    103,851x = 143,314.38 × 59,147.64
  4. Step 4: Simplify right side
    103,851x = 8,476,707,355.06
  5. Step 5: Solve for x
    x = 8,476,707,355.06/103,851
  6. Step 6: Final answer
    x = 81,623.74

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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.