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Finding the Fourth Proportional to 147,496.45, 203,543.20 and 83,830.05

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Solution

The fourth proportional to 147,496.45, 203,543.20 and 83,830.05 is: 115,684.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,496.45 : 203,543.20 = 83,830.05 : x
  2. Step 2: Convert to fraction form
    147,496.45/203,543.20 = 83,830.05/x
  3. Step 3: Cross multiply
    147,496.45x = 203,543.20 × 83,830.05
  4. Step 4: Simplify right side
    147,496.45x = 17,063,036,633.16
  5. Step 5: Solve for x
    x = 17,063,036,633.16/147,496.45
  6. Step 6: Final answer
    x = 115,684.39

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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.