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Finding the Fourth Proportional to 161,347.41, 242,036.30 and 47,495.30

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Solution

The fourth proportional to 161,347.41, 242,036.30 and 47,495.30 is: 71,247.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,347.41 : 242,036.30 = 47,495.30 : x
  2. Step 2: Convert to fraction form
    161,347.41/242,036.30 = 47,495.30/x
  3. Step 3: Cross multiply
    161,347.41x = 242,036.30 × 47,495.30
  4. Step 4: Simplify right side
    161,347.41x = 11,495,586,679.39
  5. Step 5: Solve for x
    x = 11,495,586,679.39/161,347.41
  6. Step 6: Final answer
    x = 71,247.42

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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.