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Finding the Fourth Proportional to 223,543.70, 335,200.35 and 83,230.10

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Solution

The fourth proportional to 223,543.70, 335,200.35 and 83,230.10 is: 124,802.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,543.70 : 335,200.35 = 83,230.10 : x
  2. Step 2: Convert to fraction form
    223,543.70/335,200.35 = 83,230.10/x
  3. Step 3: Cross multiply
    223,543.70x = 335,200.35 × 83,230.10
  4. Step 4: Simplify right side
    223,543.70x = 27,898,758,650.54
  5. Step 5: Solve for x
    x = 27,898,758,650.54/223,543.70
  6. Step 6: Final answer
    x = 124,802.26

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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.