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Finding the Fourth Proportional to 178,042, 266,855.48 and 99,118.48

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Solution

The fourth proportional to 178,042, 266,855.48 and 99,118.48 is: 148,562.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,042 : 266,855.48 = 99,118.48 : x
  2. Step 2: Convert to fraction form
    178,042/266,855.48 = 99,118.48/x
  3. Step 3: Cross multiply
    178,042x = 266,855.48 × 99,118.48
  4. Step 4: Simplify right side
    178,042x = 26,450,309,557.27
  5. Step 5: Solve for x
    x = 26,450,309,557.27/178,042
  6. Step 6: Final answer
    x = 148,562.19

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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.