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Finding the Fourth Proportional to 205,430.64, 283,496.16 and 120,549.12

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Solution

The fourth proportional to 205,430.64, 283,496.16 and 120,549.12 is: 166,358.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,430.64 : 283,496.16 = 120,549.12 : x
  2. Step 2: Convert to fraction form
    205,430.64/283,496.16 = 120,549.12/x
  3. Step 3: Cross multiply
    205,430.64x = 283,496.16 × 120,549.12
  4. Step 4: Simplify right side
    205,430.64x = 34,175,212,611.38
  5. Step 5: Solve for x
    x = 34,175,212,611.38/205,430.64
  6. Step 6: Final answer
    x = 166,358.89

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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.