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Finding the Fourth Proportional to 259,633.86, 358,312.71 and 144,935.02

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Solution

The fourth proportional to 259,633.86, 358,312.71 and 144,935.02 is: 200,020.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,633.86 : 358,312.71 = 144,935.02 : x
  2. Step 2: Convert to fraction form
    259,633.86/358,312.71 = 144,935.02/x
  3. Step 3: Cross multiply
    259,633.86x = 358,312.71 × 144,935.02
  4. Step 4: Simplify right side
    259,633.86x = 51,932,060,781.50
  5. Step 5: Solve for x
    x = 51,932,060,781.50/259,633.86
  6. Step 6: Final answer
    x = 200,020.37

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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.