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Finding the Fourth Proportional to 144,134.16, 215,254.94 and 122,847.36

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Solution

The fourth proportional to 144,134.16, 215,254.94 and 122,847.36 is: 183,464.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,134.16 : 215,254.94 = 122,847.36 : x
  2. Step 2: Convert to fraction form
    144,134.16/215,254.94 = 122,847.36/x
  3. Step 3: Cross multiply
    144,134.16x = 215,254.94 × 122,847.36
  4. Step 4: Simplify right side
    144,134.16x = 26,443,500,491.72
  5. Step 5: Solve for x
    x = 26,443,500,491.72/144,134.16
  6. Step 6: Final answer
    x = 183,464.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.