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Finding the Fourth Proportional to 149,689.99, 224,509.47 and 49,838.86

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Solution

The fourth proportional to 149,689.99, 224,509.47 and 49,838.86 is: 74,749.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,689.99 : 224,509.47 = 49,838.86 : x
  2. Step 2: Convert to fraction form
    149,689.99/224,509.47 = 49,838.86/x
  3. Step 3: Cross multiply
    149,689.99x = 224,509.47 × 49,838.86
  4. Step 4: Simplify right side
    149,689.99x = 11,189,296,044.00
  5. Step 5: Solve for x
    x = 11,189,296,044.00/149,689.99
  6. Step 6: Final answer
    x = 74,749.79

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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.