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Finding the Fourth Proportional to 205,194.51, 307,839.15 and 64,953.15

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Solution

The fourth proportional to 205,194.51, 307,839.15 and 64,953.15 is: 97,444.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,194.51 : 307,839.15 = 64,953.15 : x
  2. Step 2: Convert to fraction form
    205,194.51/307,839.15 = 64,953.15/x
  3. Step 3: Cross multiply
    205,194.51x = 307,839.15 × 64,953.15
  4. Step 4: Simplify right side
    205,194.51x = 19,995,122,485.82
  5. Step 5: Solve for x
    x = 19,995,122,485.82/205,194.51
  6. Step 6: Final answer
    x = 97,444.72

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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.