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Finding the Fourth Proportional to 144,298.50, 216,451.54 and 68,379.24

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Solution

The fourth proportional to 144,298.50, 216,451.54 and 68,379.24 is: 102,570.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,298.50 : 216,451.54 = 68,379.24 : x
  2. Step 2: Convert to fraction form
    144,298.50/216,451.54 = 68,379.24/x
  3. Step 3: Cross multiply
    144,298.50x = 216,451.54 × 68,379.24
  4. Step 4: Simplify right side
    144,298.50x = 14,800,791,802.03
  5. Step 5: Solve for x
    x = 14,800,791,802.03/144,298.50
  6. Step 6: Final answer
    x = 102,570.66

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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.