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Finding the Fourth Proportional to 206,400.58, 284,569.12 and 133,674.98

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Solution

The fourth proportional to 206,400.58, 284,569.12 and 133,674.98 is: 184,300.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,400.58 : 284,569.12 = 133,674.98 : x
  2. Step 2: Convert to fraction form
    206,400.58/284,569.12 = 133,674.98/x
  3. Step 3: Cross multiply
    206,400.58x = 284,569.12 × 133,674.98
  4. Step 4: Simplify right side
    206,400.58x = 38,039,771,424.62
  5. Step 5: Solve for x
    x = 38,039,771,424.62/206,400.58
  6. Step 6: Final answer
    x = 184,300.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.