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Finding the Fourth Proportional to 119,510.64, 179,236.80 and 49,410

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Solution

The fourth proportional to 119,510.64, 179,236.80 and 49,410 is: 74,102.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,510.64 : 179,236.80 = 49,410 : x
  2. Step 2: Convert to fraction form
    119,510.64/179,236.80 = 49,410/x
  3. Step 3: Cross multiply
    119,510.64x = 179,236.80 × 49,410
  4. Step 4: Simplify right side
    119,510.64x = 8,856,090,288
  5. Step 5: Solve for x
    x = 8,856,090,288/119,510.64
  6. Step 6: Final answer
    x = 74,102.94

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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.