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Finding the Fourth Proportional to 218,809.17, 301,840.94 and 150,709.02

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Solution

The fourth proportional to 218,809.17, 301,840.94 and 150,709.02 is: 207,898.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,809.17 : 301,840.94 = 150,709.02 : x
  2. Step 2: Convert to fraction form
    218,809.17/301,840.94 = 150,709.02/x
  3. Step 3: Cross multiply
    218,809.17x = 301,840.94 × 150,709.02
  4. Step 4: Simplify right side
    218,809.17x = 45,490,151,509.73
  5. Step 5: Solve for x
    x = 45,490,151,509.73/218,809.17
  6. Step 6: Final answer
    x = 207,898.74

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Why These Related Problems?

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