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Finding the Fourth Proportional to 151,193.85, 208,647.69 and 83,215.74

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Solution

The fourth proportional to 151,193.85, 208,647.69 and 83,215.74 is: 114,837.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,193.85 : 208,647.69 = 83,215.74 : x
  2. Step 2: Convert to fraction form
    151,193.85/208,647.69 = 83,215.74/x
  3. Step 3: Cross multiply
    151,193.85x = 208,647.69 × 83,215.74
  4. Step 4: Simplify right side
    151,193.85x = 17,362,771,922.64
  5. Step 5: Solve for x
    x = 17,362,771,922.64/151,193.85
  6. Step 6: Final answer
    x = 114,837.82

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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.