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Finding the Fourth Proportional to 320,688.87, 480,897.98 and 96,081.24

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Solution

The fourth proportional to 320,688.87, 480,897.98 and 96,081.24 is: 144,081.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,688.87 : 480,897.98 = 96,081.24 : x
  2. Step 2: Convert to fraction form
    320,688.87/480,897.98 = 96,081.24/x
  3. Step 3: Cross multiply
    320,688.87x = 480,897.98 × 96,081.24
  4. Step 4: Simplify right side
    320,688.87x = 46,205,273,751.49
  5. Step 5: Solve for x
    x = 46,205,273,751.49/320,688.87
  6. Step 6: Final answer
    x = 144,081.31

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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.