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Finding the Fourth Proportional to 259,818.51, 358,542.65 and 145,093.98

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Solution

The fourth proportional to 259,818.51, 358,542.65 and 145,093.98 is: 200,225.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,818.51 : 358,542.65 = 145,093.98 : x
  2. Step 2: Convert to fraction form
    259,818.51/358,542.65 = 145,093.98/x
  3. Step 3: Cross multiply
    259,818.51x = 358,542.65 × 145,093.98
  4. Step 4: Simplify right side
    259,818.51x = 52,022,380,088.25
  5. Step 5: Solve for x
    x = 52,022,380,088.25/259,818.51
  6. Step 6: Final answer
    x = 200,225.84

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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.