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Finding the Fourth Proportional to 210,232.60, 315,340.02 and 97,874.20

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Solution

The fourth proportional to 210,232.60, 315,340.02 and 97,874.20 is: 146,807.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,232.60 : 315,340.02 = 97,874.20 : x
  2. Step 2: Convert to fraction form
    210,232.60/315,340.02 = 97,874.20/x
  3. Step 3: Cross multiply
    210,232.60x = 315,340.02 × 97,874.20
  4. Step 4: Simplify right side
    210,232.60x = 30,863,652,185.48
  5. Step 5: Solve for x
    x = 30,863,652,185.48/210,232.60
  6. Step 6: Final answer
    x = 146,807.17

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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.