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Finding the Fourth Proportional to 142,108.54, 211,927.64 and 140,201.78

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Solution

The fourth proportional to 142,108.54, 211,927.64 and 140,201.78 is: 209,084.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,108.54 : 211,927.64 = 140,201.78 : x
  2. Step 2: Convert to fraction form
    142,108.54/211,927.64 = 140,201.78/x
  3. Step 3: Cross multiply
    142,108.54x = 211,927.64 × 140,201.78
  4. Step 4: Simplify right side
    142,108.54x = 29,712,632,359.20
  5. Step 5: Solve for x
    x = 29,712,632,359.20/142,108.54
  6. Step 6: Final answer
    x = 209,084.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.