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Finding the Fourth Proportional to 208,802.52, 313,201.08 and 51,032.34

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Solution

The fourth proportional to 208,802.52, 313,201.08 and 51,032.34 is: 76,547.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,802.52 : 313,201.08 = 51,032.34 : x
  2. Step 2: Convert to fraction form
    208,802.52/313,201.08 = 51,032.34/x
  3. Step 3: Cross multiply
    208,802.52x = 313,201.08 × 51,032.34
  4. Step 4: Simplify right side
    208,802.52x = 15,983,384,002.93
  5. Step 5: Solve for x
    x = 15,983,384,002.93/208,802.52
  6. Step 6: Final answer
    x = 76,547.85

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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.