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Finding the Fourth Proportional to 157,725.60, 236,734.20 and 78,896.40

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Solution

The fourth proportional to 157,725.60, 236,734.20 and 78,896.40 is: 118,417.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,725.60 : 236,734.20 = 78,896.40 : x
  2. Step 2: Convert to fraction form
    157,725.60/236,734.20 = 78,896.40/x
  3. Step 3: Cross multiply
    157,725.60x = 236,734.20 × 78,896.40
  4. Step 4: Simplify right side
    157,725.60x = 18,677,476,136.88
  5. Step 5: Solve for x
    x = 18,677,476,136.88/157,725.60
  6. Step 6: Final answer
    x = 118,417.53

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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.