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Finding the Fourth Proportional to 156,523.40, 216,002.40 and 84,903.20

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Solution

The fourth proportional to 156,523.40, 216,002.40 and 84,903.20 is: 117,166.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,523.40 : 216,002.40 = 84,903.20 : x
  2. Step 2: Convert to fraction form
    156,523.40/216,002.40 = 84,903.20/x
  3. Step 3: Cross multiply
    156,523.40x = 216,002.40 × 84,903.20
  4. Step 4: Simplify right side
    156,523.40x = 18,339,294,967.68
  5. Step 5: Solve for x
    x = 18,339,294,967.68/156,523.40
  6. Step 6: Final answer
    x = 117,166.47

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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.