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Finding the Fourth Proportional to 259,297, 357,820.90 and 146,113

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Solution

The fourth proportional to 259,297, 357,820.90 and 146,113 is: 201,630.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,297 : 357,820.90 = 146,113 : x
  2. Step 2: Convert to fraction form
    259,297/357,820.90 = 146,113/x
  3. Step 3: Cross multiply
    259,297x = 357,820.90 × 146,113
  4. Step 4: Simplify right side
    259,297x = 52,282,285,161.70
  5. Step 5: Solve for x
    x = 52,282,285,161.70/259,297
  6. Step 6: Final answer
    x = 201,630.89

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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.