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Finding the Fourth Proportional to 233,953.81, 350,978.10 and 76,139.89

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Solution

The fourth proportional to 233,953.81, 350,978.10 and 76,139.89 is: 114,225.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,953.81 : 350,978.10 = 76,139.89 : x
  2. Step 2: Convert to fraction form
    233,953.81/350,978.10 = 76,139.89/x
  3. Step 3: Cross multiply
    233,953.81x = 350,978.10 × 76,139.89
  4. Step 4: Simplify right side
    233,953.81x = 26,723,433,926.41
  5. Step 5: Solve for x
    x = 26,723,433,926.41/233,953.81
  6. Step 6: Final answer
    x = 114,225.26

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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.