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Finding the Fourth Proportional to 190,081.60, 284,776.80 and 154,830.40

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Solution

The fourth proportional to 190,081.60, 284,776.80 and 154,830.40 is: 231,964.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,081.60 : 284,776.80 = 154,830.40 : x
  2. Step 2: Convert to fraction form
    190,081.60/284,776.80 = 154,830.40/x
  3. Step 3: Cross multiply
    190,081.60x = 284,776.80 × 154,830.40
  4. Step 4: Simplify right side
    190,081.60x = 44,092,105,854.72
  5. Step 5: Solve for x
    x = 44,092,105,854.72/190,081.60
  6. Step 6: Final answer
    x = 231,964.09

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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.