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Finding the Fourth Proportional to 274,024.14, 411,026.95 and 96,526.52

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Solution

The fourth proportional to 274,024.14, 411,026.95 and 96,526.52 is: 144,786.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,024.14 : 411,026.95 = 96,526.52 : x
  2. Step 2: Convert to fraction form
    274,024.14/411,026.95 = 96,526.52/x
  3. Step 3: Cross multiply
    274,024.14x = 411,026.95 × 96,526.52
  4. Step 4: Simplify right side
    274,024.14x = 39,675,001,109.71
  5. Step 5: Solve for x
    x = 39,675,001,109.71/274,024.14
  6. Step 6: Final answer
    x = 144,786.52

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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.