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Finding the Fourth Proportional to 159,564.42, 239,374.98 and 52,954.74

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Solution

The fourth proportional to 159,564.42, 239,374.98 and 52,954.74 is: 79,441.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,564.42 : 239,374.98 = 52,954.74 : x
  2. Step 2: Convert to fraction form
    159,564.42/239,374.98 = 52,954.74/x
  3. Step 3: Cross multiply
    159,564.42x = 239,374.98 × 52,954.74
  4. Step 4: Simplify right side
    159,564.42x = 12,676,039,828.41
  5. Step 5: Solve for x
    x = 12,676,039,828.41/159,564.42
  6. Step 6: Final answer
    x = 79,441.52

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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.