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Finding the Fourth Proportional to 136,347.48, 204,532.14 and 47,599.02

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Solution

The fourth proportional to 136,347.48, 204,532.14 and 47,599.02 is: 71,402.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,347.48 : 204,532.14 = 47,599.02 : x
  2. Step 2: Convert to fraction form
    136,347.48/204,532.14 = 47,599.02/x
  3. Step 3: Cross multiply
    136,347.48x = 204,532.14 × 47,599.02
  4. Step 4: Simplify right side
    136,347.48x = 9,735,529,422.50
  5. Step 5: Solve for x
    x = 9,735,529,422.50/136,347.48
  6. Step 6: Final answer
    x = 71,402.34

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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.