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Finding the Fourth Proportional to 213,116.42, 319,674.54 and 63,356.06

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Solution

The fourth proportional to 213,116.42, 319,674.54 and 63,356.06 is: 95,034.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,116.42 : 319,674.54 = 63,356.06 : x
  2. Step 2: Convert to fraction form
    213,116.42/319,674.54 = 63,356.06/x
  3. Step 3: Cross multiply
    213,116.42x = 319,674.54 × 63,356.06
  4. Step 4: Simplify right side
    213,116.42x = 20,253,319,336.71
  5. Step 5: Solve for x
    x = 20,253,319,336.71/213,116.42
  6. Step 6: Final answer
    x = 95,034.06

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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.