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Finding the Fourth Proportional to 205,147.60, 307,690.62 and 64,888

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Solution

The fourth proportional to 205,147.60, 307,690.62 and 64,888 is: 97,322.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,147.60 : 307,690.62 = 64,888 : x
  2. Step 2: Convert to fraction form
    205,147.60/307,690.62 = 64,888/x
  3. Step 3: Cross multiply
    205,147.60x = 307,690.62 × 64,888
  4. Step 4: Simplify right side
    205,147.60x = 19,965,428,950.56
  5. Step 5: Solve for x
    x = 19,965,428,950.56/205,147.60
  6. Step 6: Final answer
    x = 97,322.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.