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Finding the Fourth Proportional to 262,156, 393,235.44 and 65,164

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Solution

The fourth proportional to 262,156, 393,235.44 and 65,164 is: 97,746.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,156 : 393,235.44 = 65,164 : x
  2. Step 2: Convert to fraction form
    262,156/393,235.44 = 65,164/x
  3. Step 3: Cross multiply
    262,156x = 393,235.44 × 65,164
  4. Step 4: Simplify right side
    262,156x = 25,624,794,212.16
  5. Step 5: Solve for x
    x = 25,624,794,212.16/262,156
  6. Step 6: Final answer
    x = 97,746.36

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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.