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Finding the Fourth Proportional to 220,642.54, 304,488.04 and 120,041.26

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Solution

The fourth proportional to 220,642.54, 304,488.04 and 120,041.26 is: 165,657.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,642.54 : 304,488.04 = 120,041.26 : x
  2. Step 2: Convert to fraction form
    220,642.54/304,488.04 = 120,041.26/x
  3. Step 3: Cross multiply
    220,642.54x = 304,488.04 × 120,041.26
  4. Step 4: Simplify right side
    220,642.54x = 36,551,127,976.53
  5. Step 5: Solve for x
    x = 36,551,127,976.53/220,642.54
  6. Step 6: Final answer
    x = 165,657.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.