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Finding the Fourth Proportional to 159,123.90, 238,668 and 40,798.02

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Solution

The fourth proportional to 159,123.90, 238,668 and 40,798.02 is: 61,192.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,123.90 : 238,668 = 40,798.02 : x
  2. Step 2: Convert to fraction form
    159,123.90/238,668 = 40,798.02/x
  3. Step 3: Cross multiply
    159,123.90x = 238,668 × 40,798.02
  4. Step 4: Simplify right side
    159,123.90x = 9,737,181,837.36
  5. Step 5: Solve for x
    x = 9,737,181,837.36/159,123.90
  6. Step 6: Final answer
    x = 61,192.45

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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.