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Finding the Fourth Proportional to 201,714.70, 302,572.05 and 96,738.70

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Solution

The fourth proportional to 201,714.70, 302,572.05 and 96,738.70 is: 145,108.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,714.70 : 302,572.05 = 96,738.70 : x
  2. Step 2: Convert to fraction form
    201,714.70/302,572.05 = 96,738.70/x
  3. Step 3: Cross multiply
    201,714.70x = 302,572.05 × 96,738.70
  4. Step 4: Simplify right side
    201,714.70x = 29,270,426,773.34
  5. Step 5: Solve for x
    x = 29,270,426,773.34/201,714.70
  6. Step 6: Final answer
    x = 145,108.05

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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.