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Finding the Fourth Proportional to 145,896.83, 201,339.16 and 82,234.63

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Solution

The fourth proportional to 145,896.83, 201,339.16 and 82,234.63 is: 113,484.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,896.83 : 201,339.16 = 82,234.63 : x
  2. Step 2: Convert to fraction form
    145,896.83/201,339.16 = 82,234.63/x
  3. Step 3: Cross multiply
    145,896.83x = 201,339.16 × 82,234.63
  4. Step 4: Simplify right side
    145,896.83x = 16,557,051,327.11
  5. Step 5: Solve for x
    x = 16,557,051,327.11/145,896.83
  6. Step 6: Final answer
    x = 113,484.65

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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.