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Finding the Fourth Proportional to 131,090.40, 180,743.40 and 97,050.96

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Solution

The fourth proportional to 131,090.40, 180,743.40 and 97,050.96 is: 133,810.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,090.40 : 180,743.40 = 97,050.96 : x
  2. Step 2: Convert to fraction form
    131,090.40/180,743.40 = 97,050.96/x
  3. Step 3: Cross multiply
    131,090.40x = 180,743.40 × 97,050.96
  4. Step 4: Simplify right side
    131,090.40x = 17,541,320,483.66
  5. Step 5: Solve for x
    x = 17,541,320,483.66/131,090.40
  6. Step 6: Final answer
    x = 133,810.87

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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.