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Finding the Fourth Proportional to 273,564.79, 410,539.91 and 96,085.63

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Solution

The fourth proportional to 273,564.79, 410,539.91 and 96,085.63 is: 144,196.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,564.79 : 410,539.91 = 96,085.63 : x
  2. Step 2: Convert to fraction form
    273,564.79/410,539.91 = 96,085.63/x
  3. Step 3: Cross multiply
    273,564.79x = 410,539.91 × 96,085.63
  4. Step 4: Simplify right side
    273,564.79x = 39,446,985,412.07
  5. Step 5: Solve for x
    x = 39,446,985,412.07/273,564.79
  6. Step 6: Final answer
    x = 144,196.14

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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.