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Finding the Fourth Proportional to 152,264.82, 228,412.44 and 52,411.80

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Solution

The fourth proportional to 152,264.82, 228,412.44 and 52,411.80 is: 78,622.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,264.82 : 228,412.44 = 52,411.80 : x
  2. Step 2: Convert to fraction form
    152,264.82/228,412.44 = 52,411.80/x
  3. Step 3: Cross multiply
    152,264.82x = 228,412.44 × 52,411.80
  4. Step 4: Simplify right side
    152,264.82x = 11,971,507,122.79
  5. Step 5: Solve for x
    x = 11,971,507,122.79/152,264.82
  6. Step 6: Final answer
    x = 78,622.94

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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.