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Finding the Fourth Proportional to 213,113.94, 317,924.12 and 207,322.04

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Solution

The fourth proportional to 213,113.94, 317,924.12 and 207,322.04 is: 309,283.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,113.94 : 317,924.12 = 207,322.04 : x
  2. Step 2: Convert to fraction form
    213,113.94/317,924.12 = 207,322.04/x
  3. Step 3: Cross multiply
    213,113.94x = 317,924.12 × 207,322.04
  4. Step 4: Simplify right side
    213,113.94x = 65,912,674,497.37
  5. Step 5: Solve for x
    x = 65,912,674,497.37/213,113.94
  6. Step 6: Final answer
    x = 309,283.73

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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.