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Finding the Fourth Proportional to 230,045.40, 345,068.10 and 159,186.60

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Solution

The fourth proportional to 230,045.40, 345,068.10 and 159,186.60 is: 238,779.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,045.40 : 345,068.10 = 159,186.60 : x
  2. Step 2: Convert to fraction form
    230,045.40/345,068.10 = 159,186.60/x
  3. Step 3: Cross multiply
    230,045.40x = 345,068.10 × 159,186.60
  4. Step 4: Simplify right side
    230,045.40x = 54,930,217,607.46
  5. Step 5: Solve for x
    x = 54,930,217,607.46/230,045.40
  6. Step 6: Final answer
    x = 238,779.90

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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.