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Finding the Fourth Proportional to 205,294.88, 283,298.64 and 114,649.40

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Solution

The fourth proportional to 205,294.88, 283,298.64 and 114,649.40 is: 158,211.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,294.88 : 283,298.64 = 114,649.40 : x
  2. Step 2: Convert to fraction form
    205,294.88/283,298.64 = 114,649.40/x
  3. Step 3: Cross multiply
    205,294.88x = 283,298.64 × 114,649.40
  4. Step 4: Simplify right side
    205,294.88x = 32,480,019,096.82
  5. Step 5: Solve for x
    x = 32,480,019,096.82/205,294.88
  6. Step 6: Final answer
    x = 158,211.54

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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.