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Finding the Fourth Proportional to 233,234.67, 349,837.76 and 137,225.14

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Solution

The fourth proportional to 233,234.67, 349,837.76 and 137,225.14 is: 205,829.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,234.67 : 349,837.76 = 137,225.14 : x
  2. Step 2: Convert to fraction form
    233,234.67/349,837.76 = 137,225.14/x
  3. Step 3: Cross multiply
    233,234.67x = 349,837.76 × 137,225.14
  4. Step 4: Simplify right side
    233,234.67x = 48,006,534,675.81
  5. Step 5: Solve for x
    x = 48,006,534,675.81/233,234.67
  6. Step 6: Final answer
    x = 205,829.33

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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.