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Finding the Fourth Proportional to 142,146.45, 213,218.82 and 35,529.87

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Solution

The fourth proportional to 142,146.45, 213,218.82 and 35,529.87 is: 53,294.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,146.45 : 213,218.82 = 35,529.87 : x
  2. Step 2: Convert to fraction form
    142,146.45/213,218.82 = 35,529.87/x
  3. Step 3: Cross multiply
    142,146.45x = 213,218.82 × 35,529.87
  4. Step 4: Simplify right side
    142,146.45x = 7,575,637,622.49
  5. Step 5: Solve for x
    x = 7,575,637,622.49/142,146.45
  6. Step 6: Final answer
    x = 53,294.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.