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Finding the Fourth Proportional to 212,498.88, 317,193.64 and 187,277.00

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Solution

The fourth proportional to 212,498.88, 317,193.64 and 187,277.00 is: 279,545.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,498.88 : 317,193.64 = 187,277.00 : x
  2. Step 2: Convert to fraction form
    212,498.88/317,193.64 = 187,277.00/x
  3. Step 3: Cross multiply
    212,498.88x = 317,193.64 × 187,277.00
  4. Step 4: Simplify right side
    212,498.88x = 59,403,072,993.49
  5. Step 5: Solve for x
    x = 59,403,072,993.49/212,498.88
  6. Step 6: Final answer
    x = 279,545.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.