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Finding the Fourth Proportional to 288,076.80, 432,308.07 and 119,597.27

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Solution

The fourth proportional to 288,076.80, 432,308.07 and 119,597.27 is: 179,475.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,076.80 : 432,308.07 = 119,597.27 : x
  2. Step 2: Convert to fraction form
    288,076.80/432,308.07 = 119,597.27/x
  3. Step 3: Cross multiply
    288,076.80x = 432,308.07 × 119,597.27
  4. Step 4: Simplify right side
    288,076.80x = 51,702,864,970.97
  5. Step 5: Solve for x
    x = 51,702,864,970.97/288,076.80
  6. Step 6: Final answer
    x = 179,475.98

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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.