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Finding the Fourth Proportional to 205,073.91, 307,608.95 and 64,832.55

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Solution

The fourth proportional to 205,073.91, 307,608.95 and 64,832.55 is: 97,248.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,073.91 : 307,608.95 = 64,832.55 : x
  2. Step 2: Convert to fraction form
    205,073.91/307,608.95 = 64,832.55/x
  3. Step 3: Cross multiply
    205,073.91x = 307,608.95 × 64,832.55
  4. Step 4: Simplify right side
    205,073.91x = 19,943,072,307.16
  5. Step 5: Solve for x
    x = 19,943,072,307.16/205,073.91
  6. Step 6: Final answer
    x = 97,248.22

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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.