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Finding the Fourth Proportional to 156,214.96, 215,576.76 and 84,595.06

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Solution

The fourth proportional to 156,214.96, 215,576.76 and 84,595.06 is: 116,741.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,214.96 : 215,576.76 = 84,595.06 : x
  2. Step 2: Convert to fraction form
    156,214.96/215,576.76 = 84,595.06/x
  3. Step 3: Cross multiply
    156,214.96x = 215,576.76 × 84,595.06
  4. Step 4: Simplify right side
    156,214.96x = 18,236,728,946.81
  5. Step 5: Solve for x
    x = 18,236,728,946.81/156,214.96
  6. Step 6: Final answer
    x = 116,741.25

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1.5x scale

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.