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Finding the Fourth Proportional to 274,190.40, 411,314.76 and 87,158.16

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Solution

The fourth proportional to 274,190.40, 411,314.76 and 87,158.16 is: 130,746.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,190.40 : 411,314.76 = 87,158.16 : x
  2. Step 2: Convert to fraction form
    274,190.40/411,314.76 = 87,158.16/x
  3. Step 3: Cross multiply
    274,190.40x = 411,314.76 × 87,158.16
  4. Step 4: Simplify right side
    274,190.40x = 35,849,437,662.44
  5. Step 5: Solve for x
    x = 35,849,437,662.44/274,190.40
  6. Step 6: Final answer
    x = 130,746.51

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Why These Related Problems?

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