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Finding the Fourth Proportional to 145,213.80, 217,820.70 and 136,465.80

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Solution

The fourth proportional to 145,213.80, 217,820.70 and 136,465.80 is: 204,698.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,213.80 : 217,820.70 = 136,465.80 : x
  2. Step 2: Convert to fraction form
    145,213.80/217,820.70 = 136,465.80/x
  3. Step 3: Cross multiply
    145,213.80x = 217,820.70 × 136,465.80
  4. Step 4: Simplify right side
    145,213.80x = 29,725,076,082.06
  5. Step 5: Solve for x
    x = 29,725,076,082.06/145,213.80
  6. Step 6: Final answer
    x = 204,698.70

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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.