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Finding the Fourth Proportional to 292,150.74, 438,221.52 and 149,913.93

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Solution

The fourth proportional to 292,150.74, 438,221.52 and 149,913.93 is: 224,868.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,150.74 : 438,221.52 = 149,913.93 : x
  2. Step 2: Convert to fraction form
    292,150.74/438,221.52 = 149,913.93/x
  3. Step 3: Cross multiply
    292,150.74x = 438,221.52 × 149,913.93
  4. Step 4: Simplify right side
    292,150.74x = 65,695,510,273.77
  5. Step 5: Solve for x
    x = 65,695,510,273.77/292,150.74
  6. Step 6: Final answer
    x = 224,868.54

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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.