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Finding the Fourth Proportional to 183,011.61, 274,564.74 and 107,174.20

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Solution

The fourth proportional to 183,011.61, 274,564.74 and 107,174.20 is: 160,789.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,011.61 : 274,564.74 = 107,174.20 : x
  2. Step 2: Convert to fraction form
    183,011.61/274,564.74 = 107,174.20/x
  3. Step 3: Cross multiply
    183,011.61x = 274,564.74 × 107,174.20
  4. Step 4: Simplify right side
    183,011.61x = 29,426,256,357.71
  5. Step 5: Solve for x
    x = 29,426,256,357.71/183,011.61
  6. Step 6: Final answer
    x = 160,789.01

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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.