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Finding the Fourth Proportional to 144,904.40, 217,421.40 and 51,477.20

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Solution

The fourth proportional to 144,904.40, 217,421.40 and 51,477.20 is: 77,238.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,904.40 : 217,421.40 = 51,477.20 : x
  2. Step 2: Convert to fraction form
    144,904.40/217,421.40 = 51,477.20/x
  3. Step 3: Cross multiply
    144,904.40x = 217,421.40 × 51,477.20
  4. Step 4: Simplify right side
    144,904.40x = 11,192,244,892.08
  5. Step 5: Solve for x
    x = 11,192,244,892.08/144,904.40
  6. Step 6: Final answer
    x = 77,238.82

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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.