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Finding the Fourth Proportional to 142,750.73, 214,109.54 and 37,577.90

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Solution

The fourth proportional to 142,750.73, 214,109.54 and 37,577.90 is: 56,362.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,750.73 : 214,109.54 = 37,577.90 : x
  2. Step 2: Convert to fraction form
    142,750.73/214,109.54 = 37,577.90/x
  3. Step 3: Cross multiply
    142,750.73x = 214,109.54 × 37,577.90
  4. Step 4: Simplify right side
    142,750.73x = 8,045,787,371.47
  5. Step 5: Solve for x
    x = 8,045,787,371.47/142,750.73
  6. Step 6: Final answer
    x = 56,362.49

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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.