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Finding the Fourth Proportional to 346,053, 519,156.36 and 106,200.24

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Solution

The fourth proportional to 346,053, 519,156.36 and 106,200.24 is: 159,323.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,053 : 519,156.36 = 106,200.24 : x
  2. Step 2: Convert to fraction form
    346,053/519,156.36 = 106,200.24/x
  3. Step 3: Cross multiply
    346,053x = 519,156.36 × 106,200.24
  4. Step 4: Simplify right side
    346,053x = 55,134,530,029.53
  5. Step 5: Solve for x
    x = 55,134,530,029.53/346,053
  6. Step 6: Final answer
    x = 159,323.95

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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.