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Finding the Fourth Proportional to 259,354.18, 357,918.78 and 146,174.50

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Solution

The fourth proportional to 259,354.18, 357,918.78 and 146,174.50 is: 201,726.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,354.18 : 357,918.78 = 146,174.50 : x
  2. Step 2: Convert to fraction form
    259,354.18/357,918.78 = 146,174.50/x
  3. Step 3: Cross multiply
    259,354.18x = 357,918.78 × 146,174.50
  4. Step 4: Simplify right side
    259,354.18x = 52,318,598,707.11
  5. Step 5: Solve for x
    x = 52,318,598,707.11/259,354.18
  6. Step 6: Final answer
    x = 201,726.45

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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.