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Finding the Fourth Proportional to 266,148.50, 367,285.17 and 146,916.50

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Solution

The fourth proportional to 266,148.50, 367,285.17 and 146,916.50 is: 202,744.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,148.50 : 367,285.17 = 146,916.50 : x
  2. Step 2: Convert to fraction form
    266,148.50/367,285.17 = 146,916.50/x
  3. Step 3: Cross multiply
    266,148.50x = 367,285.17 × 146,916.50
  4. Step 4: Simplify right side
    266,148.50x = 53,960,251,678.31
  5. Step 5: Solve for x
    x = 53,960,251,678.31/266,148.50
  6. Step 6: Final answer
    x = 202,744.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.