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Finding the Fourth Proportional to 144,750.81, 217,180.89 and 56,009.64

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Solution

The fourth proportional to 144,750.81, 217,180.89 and 56,009.64 is: 84,035.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,750.81 : 217,180.89 = 56,009.64 : x
  2. Step 2: Convert to fraction form
    144,750.81/217,180.89 = 56,009.64/x
  3. Step 3: Cross multiply
    144,750.81x = 217,180.89 × 56,009.64
  4. Step 4: Simplify right side
    144,750.81x = 12,164,223,463.78
  5. Step 5: Solve for x
    x = 12,164,223,463.78/144,750.81
  6. Step 6: Final answer
    x = 84,035.62

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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.