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Finding the Fourth Proportional to 259,282, 357,840.84 and 146,125.36

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Solution

The fourth proportional to 259,282, 357,840.84 and 146,125.36 is: 201,670.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,282 : 357,840.84 = 146,125.36 : x
  2. Step 2: Convert to fraction form
    259,282/357,840.84 = 146,125.36/x
  3. Step 3: Cross multiply
    259,282x = 357,840.84 × 146,125.36
  4. Step 4: Simplify right side
    259,282x = 52,289,621,567.70
  5. Step 5: Solve for x
    x = 52,289,621,567.70/259,282
  6. Step 6: Final answer
    x = 201,670.85

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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.