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Finding the Fourth Proportional to 259,397.63, 358,135.29 and 162,733.98

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Solution

The fourth proportional to 259,397.63, 358,135.29 and 162,733.98 is: 224,677.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,397.63 : 358,135.29 = 162,733.98 : x
  2. Step 2: Convert to fraction form
    259,397.63/358,135.29 = 162,733.98/x
  3. Step 3: Cross multiply
    259,397.63x = 358,135.29 × 162,733.98
  4. Step 4: Simplify right side
    259,397.63x = 58,280,781,120.15
  5. Step 5: Solve for x
    x = 58,280,781,120.15/259,397.63
  6. Step 6: Final answer
    x = 224,677.38

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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.