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Finding the Fourth Proportional to 259,405.73, 357,980.51 and 146,228.48

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Solution

The fourth proportional to 259,405.73, 357,980.51 and 146,228.48 is: 201,795.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,405.73 : 357,980.51 = 146,228.48 : x
  2. Step 2: Convert to fraction form
    259,405.73/357,980.51 = 146,228.48/x
  3. Step 3: Cross multiply
    259,405.73x = 357,980.51 × 146,228.48
  4. Step 4: Simplify right side
    259,405.73x = 52,346,946,010.73
  5. Step 5: Solve for x
    x = 52,346,946,010.73/259,405.73
  6. Step 6: Final answer
    x = 201,795.64

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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.