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Finding the Fourth Proportional to 357,508.28, 536,331.54 and 135,875

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Solution

The fourth proportional to 357,508.28, 536,331.54 and 135,875 is: 203,838.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,508.28 : 536,331.54 = 135,875 : x
  2. Step 2: Convert to fraction form
    357,508.28/536,331.54 = 135,875/x
  3. Step 3: Cross multiply
    357,508.28x = 536,331.54 × 135,875
  4. Step 4: Simplify right side
    357,508.28x = 72,874,047,997.50
  5. Step 5: Solve for x
    x = 72,874,047,997.50/357,508.28
  6. Step 6: Final answer
    x = 203,838.77

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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.