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Finding the Fourth Proportional to 231,875.99, 319,896.74 and 144,609.76

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Solution

The fourth proportional to 231,875.99, 319,896.74 and 144,609.76 is: 199,504.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,875.99 : 319,896.74 = 144,609.76 : x
  2. Step 2: Convert to fraction form
    231,875.99/319,896.74 = 144,609.76/x
  3. Step 3: Cross multiply
    231,875.99x = 319,896.74 × 144,609.76
  4. Step 4: Simplify right side
    231,875.99x = 46,260,189,758.16
  5. Step 5: Solve for x
    x = 46,260,189,758.16/231,875.99
  6. Step 6: Final answer
    x = 199,504.01

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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.