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Finding the Fourth Proportional to 142,912.36, 214,368.54 and 49,367.08

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Solution

The fourth proportional to 142,912.36, 214,368.54 and 49,367.08 is: 74,050.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,912.36 : 214,368.54 = 49,367.08 : x
  2. Step 2: Convert to fraction form
    142,912.36/214,368.54 = 49,367.08/x
  3. Step 3: Cross multiply
    142,912.36x = 214,368.54 × 49,367.08
  4. Step 4: Simplify right side
    142,912.36x = 10,582,748,863.66
  5. Step 5: Solve for x
    x = 10,582,748,863.66/142,912.36
  6. Step 6: Final answer
    x = 74,050.62

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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.