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Finding the Fourth Proportional to 205,459.64, 283,566.84 and 124,912.40

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Solution

The fourth proportional to 205,459.64, 283,566.84 and 124,912.40 is: 172,398.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,459.64 : 283,566.84 = 124,912.40 : x
  2. Step 2: Convert to fraction form
    205,459.64/283,566.84 = 124,912.40/x
  3. Step 3: Cross multiply
    205,459.64x = 283,566.84 × 124,912.40
  4. Step 4: Simplify right side
    205,459.64x = 35,421,014,544.82
  5. Step 5: Solve for x
    x = 35,421,014,544.82/205,459.64
  6. Step 6: Final answer
    x = 172,398.89

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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.