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Finding the Fourth Proportional to 205,323.89, 283,330.78 and 114,672.74

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Solution

The fourth proportional to 205,323.89, 283,330.78 and 114,672.74 is: 158,239.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,323.89 : 283,330.78 = 114,672.74 : x
  2. Step 2: Convert to fraction form
    205,323.89/283,330.78 = 114,672.74/x
  3. Step 3: Cross multiply
    205,323.89x = 283,330.78 × 114,672.74
  4. Step 4: Simplify right side
    205,323.89x = 32,490,315,165.60
  5. Step 5: Solve for x
    x = 32,490,315,165.60/205,323.89
  6. Step 6: Final answer
    x = 158,239.34

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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.