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Finding the Fourth Proportional to 262,038.70, 392,150.85 and 156,933.10

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Solution

The fourth proportional to 262,038.70, 392,150.85 and 156,933.10 is: 234,856.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,038.70 : 392,150.85 = 156,933.10 : x
  2. Step 2: Convert to fraction form
    262,038.70/392,150.85 = 156,933.10/x
  3. Step 3: Cross multiply
    262,038.70x = 392,150.85 × 156,933.10
  4. Step 4: Simplify right side
    262,038.70x = 61,541,448,558.14
  5. Step 5: Solve for x
    x = 61,541,448,558.14/262,038.70
  6. Step 6: Final answer
    x = 234,856.33

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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.