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Finding the Fourth Proportional to 202,229.55, 303,108.16 and 152,148.77

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Solution

The fourth proportional to 202,229.55, 303,108.16 and 152,148.77 is: 228,045.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,229.55 : 303,108.16 = 152,148.77 : x
  2. Step 2: Convert to fraction form
    202,229.55/303,108.16 = 152,148.77/x
  3. Step 3: Cross multiply
    202,229.55x = 303,108.16 × 152,148.77
  4. Step 4: Simplify right side
    202,229.55x = 46,117,533,720.96
  5. Step 5: Solve for x
    x = 46,117,533,720.96/202,229.55
  6. Step 6: Final answer
    x = 228,045.47

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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.