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Finding the Fourth Proportional to 210,968.32, 316,157.22 and 122,197.98

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Solution

The fourth proportional to 210,968.32, 316,157.22 and 122,197.98 is: 183,125.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,968.32 : 316,157.22 = 122,197.98 : x
  2. Step 2: Convert to fraction form
    210,968.32/316,157.22 = 122,197.98/x
  3. Step 3: Cross multiply
    210,968.32x = 316,157.22 × 122,197.98
  4. Step 4: Simplify right side
    210,968.32x = 38,633,773,646.42
  5. Step 5: Solve for x
    x = 38,633,773,646.42/210,968.32
  6. Step 6: Final answer
    x = 183,125.95

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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.