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Finding the Fourth Proportional to 273,424.50, 410,319 and 105,083.82

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Solution

The fourth proportional to 273,424.50, 410,319 and 105,083.82 is: 157,695.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,424.50 : 410,319 = 105,083.82 : x
  2. Step 2: Convert to fraction form
    273,424.50/410,319 = 105,083.82/x
  3. Step 3: Cross multiply
    273,424.50x = 410,319 × 105,083.82
  4. Step 4: Simplify right side
    273,424.50x = 43,117,887,938.58
  5. Step 5: Solve for x
    x = 43,117,887,938.58/273,424.50
  6. Step 6: Final answer
    x = 157,695.77

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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.