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Finding the Fourth Proportional to 138,085.50, 207,130.80 and 43,313.58

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Solution

The fourth proportional to 138,085.50, 207,130.80 and 43,313.58 is: 64,971.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,085.50 : 207,130.80 = 43,313.58 : x
  2. Step 2: Convert to fraction form
    138,085.50/207,130.80 = 43,313.58/x
  3. Step 3: Cross multiply
    138,085.50x = 207,130.80 × 43,313.58
  4. Step 4: Simplify right side
    138,085.50x = 8,971,576,476.26
  5. Step 5: Solve for x
    x = 8,971,576,476.26/138,085.50
  6. Step 6: Final answer
    x = 64,971.17

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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.