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Finding the Fourth Proportional to 142,616.10, 213,907.68 and 37,443.30

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Solution

The fourth proportional to 142,616.10, 213,907.68 and 37,443.30 is: 56,160.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,616.10 : 213,907.68 = 37,443.30 : x
  2. Step 2: Convert to fraction form
    142,616.10/213,907.68 = 37,443.30/x
  3. Step 3: Cross multiply
    142,616.10x = 213,907.68 × 37,443.30
  4. Step 4: Simplify right side
    142,616.10x = 8,009,409,434.54
  5. Step 5: Solve for x
    x = 8,009,409,434.54/142,616.10
  6. Step 6: Final answer
    x = 56,160.63

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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.