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Finding the Fourth Proportional to 152,575.84, 228,825.46 and 72,564.43

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Solution

The fourth proportional to 152,575.84, 228,825.46 and 72,564.43 is: 108,828.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,575.84 : 228,825.46 = 72,564.43 : x
  2. Step 2: Convert to fraction form
    152,575.84/228,825.46 = 72,564.43/x
  3. Step 3: Cross multiply
    152,575.84x = 228,825.46 × 72,564.43
  4. Step 4: Simplify right side
    152,575.84x = 16,604,587,748.85
  5. Step 5: Solve for x
    x = 16,604,587,748.85/152,575.84
  6. Step 6: Final answer
    x = 108,828.42

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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.