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Finding the Fourth Proportional to 258,770.40, 357,077.76 and 145,590.72

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Solution

The fourth proportional to 258,770.40, 357,077.76 and 145,590.72 is: 200,900.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,770.40 : 357,077.76 = 145,590.72 : x
  2. Step 2: Convert to fraction form
    258,770.40/357,077.76 = 145,590.72/x
  3. Step 3: Cross multiply
    258,770.40x = 357,077.76 × 145,590.72
  4. Step 4: Simplify right side
    258,770.40x = 51,987,208,174.39
  5. Step 5: Solve for x
    x = 51,987,208,174.39/258,770.40
  6. Step 6: Final answer
    x = 200,900.91

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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.