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Finding the Fourth Proportional to 202,305.90, 303,385.95 and 102,432.90

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Solution

The fourth proportional to 202,305.90, 303,385.95 and 102,432.90 is: 153,612.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,305.90 : 303,385.95 = 102,432.90 : x
  2. Step 2: Convert to fraction form
    202,305.90/303,385.95 = 102,432.90/x
  3. Step 3: Cross multiply
    202,305.90x = 303,385.95 × 102,432.90
  4. Step 4: Simplify right side
    202,305.90x = 31,076,702,677.76
  5. Step 5: Solve for x
    x = 31,076,702,677.76/202,305.90
  6. Step 6: Final answer
    x = 153,612.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.