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Finding the Fourth Proportional to 231,305.04, 319,289.04 and 150,752.16

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Solution

The fourth proportional to 231,305.04, 319,289.04 and 150,752.16 is: 208,095.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,305.04 : 319,289.04 = 150,752.16 : x
  2. Step 2: Convert to fraction form
    231,305.04/319,289.04 = 150,752.16/x
  3. Step 3: Cross multiply
    231,305.04x = 319,289.04 × 150,752.16
  4. Step 4: Simplify right side
    231,305.04x = 48,133,512,444.33
  5. Step 5: Solve for x
    x = 48,133,512,444.33/231,305.04
  6. Step 6: Final answer
    x = 208,095.39

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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.