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Finding the Fourth Proportional to 159,547.89, 239,350.30 and 52,938.24

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Solution

The fourth proportional to 159,547.89, 239,350.30 and 52,938.24 is: 79,416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,547.89 : 239,350.30 = 52,938.24 : x
  2. Step 2: Convert to fraction form
    159,547.89/239,350.30 = 52,938.24/x
  3. Step 3: Cross multiply
    159,547.89x = 239,350.30 × 52,938.24
  4. Step 4: Simplify right side
    159,547.89x = 12,670,783,625.47
  5. Step 5: Solve for x
    x = 12,670,783,625.47/159,547.89
  6. Step 6: Final answer
    x = 79,416.80

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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.