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Finding the Fourth Proportional to 156,214.81, 215,576.64 and 84,594.94

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Solution

The fourth proportional to 156,214.81, 215,576.64 and 84,594.94 is: 116,741.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,214.81 : 215,576.64 = 84,594.94 : x
  2. Step 2: Convert to fraction form
    156,214.81/215,576.64 = 84,594.94/x
  3. Step 3: Cross multiply
    156,214.81x = 215,576.64 × 84,594.94
  4. Step 4: Simplify right side
    156,214.81x = 18,236,692,926.20
  5. Step 5: Solve for x
    x = 18,236,692,926.20/156,214.81
  6. Step 6: Final answer
    x = 116,741.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.