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Finding the Fourth Proportional to 235,698.76, 353,603.49 and 77,927.23

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Solution

The fourth proportional to 235,698.76, 353,603.49 and 77,927.23 is: 116,909.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,698.76 : 353,603.49 = 77,927.23 : x
  2. Step 2: Convert to fraction form
    235,698.76/353,603.49 = 77,927.23/x
  3. Step 3: Cross multiply
    235,698.76x = 353,603.49 × 77,927.23
  4. Step 4: Simplify right side
    235,698.76x = 27,555,340,494.03
  5. Step 5: Solve for x
    x = 27,555,340,494.03/235,698.76
  6. Step 6: Final answer
    x = 116,909.14

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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.