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Finding the Fourth Proportional to 262,116.17, 393,098.09 and 102,156.50

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Solution

The fourth proportional to 262,116.17, 393,098.09 and 102,156.50 is: 153,205.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,116.17 : 393,098.09 = 102,156.50 : x
  2. Step 2: Convert to fraction form
    262,116.17/393,098.09 = 102,156.50/x
  3. Step 3: Cross multiply
    262,116.17x = 393,098.09 × 102,156.50
  4. Step 4: Simplify right side
    262,116.17x = 40,157,522,554.81
  5. Step 5: Solve for x
    x = 40,157,522,554.81/262,116.17
  6. Step 6: Final answer
    x = 153,205.05

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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.