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Finding the Fourth Proportional to 152,459.84, 228,648.45 and 63,694.78

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Solution

The fourth proportional to 152,459.84, 228,648.45 and 63,694.78 is: 95,524.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,459.84 : 228,648.45 = 63,694.78 : x
  2. Step 2: Convert to fraction form
    152,459.84/228,648.45 = 63,694.78/x
  3. Step 3: Cross multiply
    152,459.84x = 228,648.45 × 63,694.78
  4. Step 4: Simplify right side
    152,459.84x = 14,563,712,720.09
  5. Step 5: Solve for x
    x = 14,563,712,720.09/152,459.84
  6. Step 6: Final answer
    x = 95,524.91

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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.