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Finding the Fourth Proportional to 258,117, 387,190.08 and 91,905

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Solution

The fourth proportional to 258,117, 387,190.08 and 91,905 is: 137,862.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,117 : 387,190.08 = 91,905 : x
  2. Step 2: Convert to fraction form
    258,117/387,190.08 = 91,905/x
  3. Step 3: Cross multiply
    258,117x = 387,190.08 × 91,905
  4. Step 4: Simplify right side
    258,117x = 35,584,704,302.40
  5. Step 5: Solve for x
    x = 35,584,704,302.40/258,117
  6. Step 6: Final answer
    x = 137,862.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.