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Finding the Fourth Proportional to 152,464.54, 228,774.78 and 72,592.90

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Solution

The fourth proportional to 152,464.54, 228,774.78 and 72,592.90 is: 108,926.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,464.54 : 228,774.78 = 72,592.90 : x
  2. Step 2: Convert to fraction form
    152,464.54/228,774.78 = 72,592.90/x
  3. Step 3: Cross multiply
    152,464.54x = 228,774.78 × 72,592.90
  4. Step 4: Simplify right side
    152,464.54x = 16,607,424,727.06
  5. Step 5: Solve for x
    x = 16,607,424,727.06/152,464.54
  6. Step 6: Final answer
    x = 108,926.47

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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.