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Finding the Fourth Proportional to 210,202.64, 315,301.88 and 96,318.20

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Solution

The fourth proportional to 210,202.64, 315,301.88 and 96,318.20 is: 144,476.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,202.64 : 315,301.88 = 96,318.20 : x
  2. Step 2: Convert to fraction form
    210,202.64/315,301.88 = 96,318.20/x
  3. Step 3: Cross multiply
    210,202.64x = 315,301.88 × 96,318.20
  4. Step 4: Simplify right side
    210,202.64x = 30,369,309,538.22
  5. Step 5: Solve for x
    x = 30,369,309,538.22/210,202.64
  6. Step 6: Final answer
    x = 144,476.35

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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.