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Finding the Fourth Proportional to 159,106.88, 238,502.66 and 74,715.98

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Solution

The fourth proportional to 159,106.88, 238,502.66 and 74,715.98 is: 111,999.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,106.88 : 238,502.66 = 74,715.98 : x
  2. Step 2: Convert to fraction form
    159,106.88/238,502.66 = 74,715.98/x
  3. Step 3: Cross multiply
    159,106.88x = 238,502.66 × 74,715.98
  4. Step 4: Simplify right side
    159,106.88x = 17,819,958,968.78
  5. Step 5: Solve for x
    x = 17,819,958,968.78/159,106.88
  6. Step 6: Final answer
    x = 111,999.93

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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.