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Finding the Fourth Proportional to 208,058.80, 312,196.20 and 97,250.80

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Solution

The fourth proportional to 208,058.80, 312,196.20 and 97,250.80 is: 145,926.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,058.80 : 312,196.20 = 97,250.80 : x
  2. Step 2: Convert to fraction form
    208,058.80/312,196.20 = 97,250.80/x
  3. Step 3: Cross multiply
    208,058.80x = 312,196.20 × 97,250.80
  4. Step 4: Simplify right side
    208,058.80x = 30,361,330,206.96
  5. Step 5: Solve for x
    x = 30,361,330,206.96/208,058.80
  6. Step 6: Final answer
    x = 145,926.68

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1.5x scale

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.