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Finding the Fourth Proportional to 258,904.34, 357,265.23 and 144,174.32

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Solution

The fourth proportional to 258,904.34, 357,265.23 and 144,174.32 is: 198,947.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,904.34 : 357,265.23 = 144,174.32 : x
  2. Step 2: Convert to fraction form
    258,904.34/357,265.23 = 144,174.32/x
  3. Step 3: Cross multiply
    258,904.34x = 357,265.23 × 144,174.32
  4. Step 4: Simplify right side
    258,904.34x = 51,508,471,594.89
  5. Step 5: Solve for x
    x = 51,508,471,594.89/258,904.34
  6. Step 6: Final answer
    x = 198,947.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.