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Finding the Fourth Proportional to 348,543, 522,533.04 and 135,200.76

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Solution

The fourth proportional to 348,543, 522,533.04 and 135,200.76 is: 202,691.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,543 : 522,533.04 = 135,200.76 : x
  2. Step 2: Convert to fraction form
    348,543/522,533.04 = 135,200.76/x
  3. Step 3: Cross multiply
    348,543x = 522,533.04 × 135,200.76
  4. Step 4: Simplify right side
    348,543x = 70,646,864,133.11
  5. Step 5: Solve for x
    x = 70,646,864,133.11/348,543
  6. Step 6: Final answer
    x = 202,691.96

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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.