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Finding the Fourth Proportional to 210,863.88, 317,054.52 and 194,425.02

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Solution

The fourth proportional to 210,863.88, 317,054.52 and 194,425.02 is: 292,337.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,863.88 : 317,054.52 = 194,425.02 : x
  2. Step 2: Convert to fraction form
    210,863.88/317,054.52 = 194,425.02/x
  3. Step 3: Cross multiply
    210,863.88x = 317,054.52 × 194,425.02
  4. Step 4: Simplify right side
    210,863.88x = 61,643,331,392.09
  5. Step 5: Solve for x
    x = 61,643,331,392.09/210,863.88
  6. Step 6: Final answer
    x = 292,337.08

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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.