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Finding the Fourth Proportional to 235,762.86, 325,394.91 and 150,877.02

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Solution

The fourth proportional to 235,762.86, 325,394.91 and 150,877.02 is: 208,237.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,762.86 : 325,394.91 = 150,877.02 : x
  2. Step 2: Convert to fraction form
    235,762.86/325,394.91 = 150,877.02/x
  3. Step 3: Cross multiply
    235,762.86x = 325,394.91 × 150,877.02
  4. Step 4: Simplify right side
    235,762.86x = 49,094,614,343.97
  5. Step 5: Solve for x
    x = 49,094,614,343.97/235,762.86
  6. Step 6: Final answer
    x = 208,237.27

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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.