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Finding the Fourth Proportional to 194,510.80, 289,720.58 and 185,410

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Solution

The fourth proportional to 194,510.80, 289,720.58 and 185,410 is: 276,165.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,510.80 : 289,720.58 = 185,410 : x
  2. Step 2: Convert to fraction form
    194,510.80/289,720.58 = 185,410/x
  3. Step 3: Cross multiply
    194,510.80x = 289,720.58 × 185,410
  4. Step 4: Simplify right side
    194,510.80x = 53,717,092,737.80
  5. Step 5: Solve for x
    x = 53,717,092,737.80/194,510.80
  6. Step 6: Final answer
    x = 276,165.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.