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Finding the Fourth Proportional to 365,225.24, 547,938.98 and 152,093.45

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Solution

The fourth proportional to 365,225.24, 547,938.98 and 152,093.45 is: 228,182.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,225.24 : 547,938.98 = 152,093.45 : x
  2. Step 2: Convert to fraction form
    365,225.24/547,938.98 = 152,093.45/x
  3. Step 3: Cross multiply
    365,225.24x = 547,938.98 × 152,093.45
  4. Step 4: Simplify right side
    365,225.24x = 83,337,926,357.52
  5. Step 5: Solve for x
    x = 83,337,926,357.52/365,225.24
  6. Step 6: Final answer
    x = 228,182.28

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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.