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Finding the Fourth Proportional to 264,856.98, 365,509.80 and 144,006.38

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Solution

The fourth proportional to 264,856.98, 365,509.80 and 144,006.38 is: 198,732.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,856.98 : 365,509.80 = 144,006.38 : x
  2. Step 2: Convert to fraction form
    264,856.98/365,509.80 = 144,006.38/x
  3. Step 3: Cross multiply
    264,856.98x = 365,509.80 × 144,006.38
  4. Step 4: Simplify right side
    264,856.98x = 52,635,743,152.52
  5. Step 5: Solve for x
    x = 52,635,743,152.52/264,856.98
  6. Step 6: Final answer
    x = 198,732.70

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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.