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Finding the Fourth Proportional to 152,006.40, 209,908.80 and 101,851.20

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Solution

The fourth proportional to 152,006.40, 209,908.80 and 101,851.20 is: 140,648.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,006.40 : 209,908.80 = 101,851.20 : x
  2. Step 2: Convert to fraction form
    152,006.40/209,908.80 = 101,851.20/x
  3. Step 3: Cross multiply
    152,006.40x = 209,908.80 × 101,851.20
  4. Step 4: Simplify right side
    152,006.40x = 21,379,463,170.56
  5. Step 5: Solve for x
    x = 21,379,463,170.56/152,006.40
  6. Step 6: Final answer
    x = 140,648.44

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