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Finding the Fourth Proportional to 188,697, 260,401.86 and 103,812.24

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Solution

The fourth proportional to 188,697, 260,401.86 and 103,812.24 is: 143,260.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,697 : 260,401.86 = 103,812.24 : x
  2. Step 2: Convert to fraction form
    188,697/260,401.86 = 103,812.24/x
  3. Step 3: Cross multiply
    188,697x = 260,401.86 × 103,812.24
  4. Step 4: Simplify right side
    188,697x = 27,032,900,386.77
  5. Step 5: Solve for x
    x = 27,032,900,386.77/188,697
  6. Step 6: Final answer
    x = 143,260.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.