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Finding the Fourth Proportional to 151,101.66, 208,515.90 and 83,118.66

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Solution

The fourth proportional to 151,101.66, 208,515.90 and 83,118.66 is: 114,701.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,101.66 : 208,515.90 = 83,118.66 : x
  2. Step 2: Convert to fraction form
    151,101.66/208,515.90 = 83,118.66/x
  3. Step 3: Cross multiply
    151,101.66x = 208,515.90 × 83,118.66
  4. Step 4: Simplify right side
    151,101.66x = 17,331,562,196.69
  5. Step 5: Solve for x
    x = 17,331,562,196.69/151,101.66
  6. Step 6: Final answer
    x = 114,701.34

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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.