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Finding the Fourth Proportional to 234,953.55, 352,430.33 and 77,143.95

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Solution

The fourth proportional to 234,953.55, 352,430.33 and 77,143.95 is: 115,715.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,953.55 : 352,430.33 = 77,143.95 : x
  2. Step 2: Convert to fraction form
    234,953.55/352,430.33 = 77,143.95/x
  3. Step 3: Cross multiply
    234,953.55x = 352,430.33 × 77,143.95
  4. Step 4: Simplify right side
    234,953.55x = 27,187,867,370.28
  5. Step 5: Solve for x
    x = 27,187,867,370.28/234,953.55
  6. Step 6: Final answer
    x = 115,715.93

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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.