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Finding the Fourth Proportional to 144,495.81, 216,744.03 and 77,967.27

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Solution

The fourth proportional to 144,495.81, 216,744.03 and 77,967.27 is: 116,951.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,495.81 : 216,744.03 = 77,967.27 : x
  2. Step 2: Convert to fraction form
    144,495.81/216,744.03 = 77,967.27/x
  3. Step 3: Cross multiply
    144,495.81x = 216,744.03 × 77,967.27
  4. Step 4: Simplify right side
    144,495.81x = 16,898,940,307.90
  5. Step 5: Solve for x
    x = 16,898,940,307.90/144,495.81
  6. Step 6: Final answer
    x = 116,951.07

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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.