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Finding the Fourth Proportional to 235,112.85, 352,693.85 and 77,353.74

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Solution

The fourth proportional to 235,112.85, 352,693.85 and 77,353.74 is: 116,038.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,112.85 : 352,693.85 = 77,353.74 : x
  2. Step 2: Convert to fraction form
    235,112.85/352,693.85 = 77,353.74/x
  3. Step 3: Cross multiply
    235,112.85x = 352,693.85 × 77,353.74
  4. Step 4: Simplify right side
    235,112.85x = 27,282,187,985.73
  5. Step 5: Solve for x
    x = 27,282,187,985.73/235,112.85
  6. Step 6: Final answer
    x = 116,038.69

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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.