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Finding the Fourth Proportional to 264,866.98, 365,523.61 and 144,016.38

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Solution

The fourth proportional to 264,866.98, 365,523.61 and 144,016.38 is: 198,746.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,866.98 : 365,523.61 = 144,016.38 : x
  2. Step 2: Convert to fraction form
    264,866.98/365,523.61 = 144,016.38/x
  3. Step 3: Cross multiply
    264,866.98x = 365,523.61 × 144,016.38
  4. Step 4: Simplify right side
    264,866.98x = 52,641,387,116.73
  5. Step 5: Solve for x
    x = 52,641,387,116.73/264,866.98
  6. Step 6: Final answer
    x = 198,746.51

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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.