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Finding the Fourth Proportional to 213,267.42, 319,970.22 and 63,508.95

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Solution

The fourth proportional to 213,267.42, 319,970.22 and 63,508.95 is: 95,284.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,267.42 : 319,970.22 = 63,508.95 : x
  2. Step 2: Convert to fraction form
    213,267.42/319,970.22 = 63,508.95/x
  3. Step 3: Cross multiply
    213,267.42x = 319,970.22 × 63,508.95
  4. Step 4: Simplify right side
    213,267.42x = 20,320,972,703.47
  5. Step 5: Solve for x
    x = 20,320,972,703.47/213,267.42
  6. Step 6: Final answer
    x = 95,284.00

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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.