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Finding the Fourth Proportional to 264,838.91, 365,470.04 and 150,128.15

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Solution

The fourth proportional to 264,838.91, 365,470.04 and 150,128.15 is: 207,172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,838.91 : 365,470.04 = 150,128.15 : x
  2. Step 2: Convert to fraction form
    264,838.91/365,470.04 = 150,128.15/x
  3. Step 3: Cross multiply
    264,838.91x = 365,470.04 × 150,128.15
  4. Step 4: Simplify right side
    264,838.91x = 54,867,338,407.64
  5. Step 5: Solve for x
    x = 54,867,338,407.64/264,838.91
  6. Step 6: Final answer
    x = 207,172.50

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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.