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Finding the Fourth Proportional to 221,926.40, 333,098.40 and 116,820.80

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Solution

The fourth proportional to 221,926.40, 333,098.40 and 116,820.80 is: 175,341.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,926.40 : 333,098.40 = 116,820.80 : x
  2. Step 2: Convert to fraction form
    221,926.40/333,098.40 = 116,820.80/x
  3. Step 3: Cross multiply
    221,926.40x = 333,098.40 × 116,820.80
  4. Step 4: Simplify right side
    221,926.40x = 38,912,821,566.72
  5. Step 5: Solve for x
    x = 38,912,821,566.72/221,926.40
  6. Step 6: Final answer
    x = 175,341.11

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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.