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Finding the Fourth Proportional to 265,696.58, 398,503.77 and 97,177.49

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Solution

The fourth proportional to 265,696.58, 398,503.77 and 97,177.49 is: 145,751.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,696.58 : 398,503.77 = 97,177.49 : x
  2. Step 2: Convert to fraction form
    265,696.58/398,503.77 = 97,177.49/x
  3. Step 3: Cross multiply
    265,696.58x = 398,503.77 × 97,177.49
  4. Step 4: Simplify right side
    265,696.58x = 38,725,598,049.80
  5. Step 5: Solve for x
    x = 38,725,598,049.80/265,696.58
  6. Step 6: Final answer
    x = 145,751.21

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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.