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Finding the Fourth Proportional to 208,417.10, 312,625.65 and 97,825.10

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Solution

The fourth proportional to 208,417.10, 312,625.65 and 97,825.10 is: 146,737.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,417.10 : 312,625.65 = 97,825.10 : x
  2. Step 2: Convert to fraction form
    208,417.10/312,625.65 = 97,825.10/x
  3. Step 3: Cross multiply
    208,417.10x = 312,625.65 × 97,825.10
  4. Step 4: Simplify right side
    208,417.10x = 30,582,635,473.82
  5. Step 5: Solve for x
    x = 30,582,635,473.82/208,417.10
  6. Step 6: Final answer
    x = 146,737.65

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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.