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Finding the Fourth Proportional to 97,523.55, 146,121.30 and 83,417.40

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Solution

The fourth proportional to 97,523.55, 146,121.30 and 83,417.40 is: 124,985.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,523.55 : 146,121.30 = 83,417.40 : x
  2. Step 2: Convert to fraction form
    97,523.55/146,121.30 = 83,417.40/x
  3. Step 3: Cross multiply
    97,523.55x = 146,121.30 × 83,417.40
  4. Step 4: Simplify right side
    97,523.55x = 12,189,058,930.62
  5. Step 5: Solve for x
    x = 12,189,058,930.62/97,523.55
  6. Step 6: Final answer
    x = 124,985.80

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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.