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Finding the Fourth Proportional to 188,097.39, 259,564.10 and 103,207.77

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Solution

The fourth proportional to 188,097.39, 259,564.10 and 103,207.77 is: 142,421.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,097.39 : 259,564.10 = 103,207.77 : x
  2. Step 2: Convert to fraction form
    188,097.39/259,564.10 = 103,207.77/x
  3. Step 3: Cross multiply
    188,097.39x = 259,564.10 × 103,207.77
  4. Step 4: Simplify right side
    188,097.39x = 26,789,031,417.02
  5. Step 5: Solve for x
    x = 26,789,031,417.02/188,097.39
  6. Step 6: Final answer
    x = 142,421.07

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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.