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Finding the Fourth Proportional to 220,506.30, 304,290.27 and 119,904.30

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Solution

The fourth proportional to 220,506.30, 304,290.27 and 119,904.30 is: 165,463.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,506.30 : 304,290.27 = 119,904.30 : x
  2. Step 2: Convert to fraction form
    220,506.30/304,290.27 = 119,904.30/x
  3. Step 3: Cross multiply
    220,506.30x = 304,290.27 × 119,904.30
  4. Step 4: Simplify right side
    220,506.30x = 36,485,711,821.16
  5. Step 5: Solve for x
    x = 36,485,711,821.16/220,506.30
  6. Step 6: Final answer
    x = 165,463.35

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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.