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Finding the Fourth Proportional to 142,655.66, 213,903.45 and 97,727.79

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Solution

The fourth proportional to 142,655.66, 213,903.45 and 97,727.79 is: 146,536.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,655.66 : 213,903.45 = 97,727.79 : x
  2. Step 2: Convert to fraction form
    142,655.66/213,903.45 = 97,727.79/x
  3. Step 3: Cross multiply
    142,655.66x = 213,903.45 × 97,727.79
  4. Step 4: Simplify right side
    142,655.66x = 20,904,311,441.88
  5. Step 5: Solve for x
    x = 20,904,311,441.88/142,655.66
  6. Step 6: Final answer
    x = 146,536.85

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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.