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Finding the Fourth Proportional to 152,046.80, 228,004.92 and 52,217

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Solution

The fourth proportional to 152,046.80, 228,004.92 and 52,217 is: 78,303.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,046.80 : 228,004.92 = 52,217 : x
  2. Step 2: Convert to fraction form
    152,046.80/228,004.92 = 52,217/x
  3. Step 3: Cross multiply
    152,046.80x = 228,004.92 × 52,217
  4. Step 4: Simplify right side
    152,046.80x = 11,905,732,907.64
  5. Step 5: Solve for x
    x = 11,905,732,907.64/152,046.80
  6. Step 6: Final answer
    x = 78,303.08

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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.