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Finding the Fourth Proportional to 159,123.84, 238,652.10 and 46,773.47

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Solution

The fourth proportional to 159,123.84, 238,652.10 and 46,773.47 is: 70,150.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,123.84 : 238,652.10 = 46,773.47 : x
  2. Step 2: Convert to fraction form
    159,123.84/238,652.10 = 46,773.47/x
  3. Step 3: Cross multiply
    159,123.84x = 238,652.10 × 46,773.47
  4. Step 4: Simplify right side
    159,123.84x = 11,162,585,646.53
  5. Step 5: Solve for x
    x = 11,162,585,646.53/159,123.84
  6. Step 6: Final answer
    x = 70,150.30

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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.