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Finding the Fourth Proportional to 144,830.19, 217,192.02 and 50,036.10

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Solution

The fourth proportional to 144,830.19, 217,192.02 and 50,036.10 is: 75,035.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,830.19 : 217,192.02 = 50,036.10 : x
  2. Step 2: Convert to fraction form
    144,830.19/217,192.02 = 50,036.10/x
  3. Step 3: Cross multiply
    144,830.19x = 217,192.02 × 50,036.10
  4. Step 4: Simplify right side
    144,830.19x = 10,867,441,631.92
  5. Step 5: Solve for x
    x = 10,867,441,631.92/144,830.19
  6. Step 6: Final answer
    x = 75,035.75

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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.