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Finding the Fourth Proportional to 217,047.44, 299,526.72 and 120,254.35

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Solution

The fourth proportional to 217,047.44, 299,526.72 and 120,254.35 is: 165,951.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,047.44 : 299,526.72 = 120,254.35 : x
  2. Step 2: Convert to fraction form
    217,047.44/299,526.72 = 120,254.35/x
  3. Step 3: Cross multiply
    217,047.44x = 299,526.72 × 120,254.35
  4. Step 4: Simplify right side
    217,047.44x = 36,019,391,021.23
  5. Step 5: Solve for x
    x = 36,019,391,021.23/217,047.44
  6. Step 6: Final answer
    x = 165,951.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.