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Finding the Fourth Proportional to 156,833.16, 216,430.10 and 85,213.27

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Solution

The fourth proportional to 156,833.16, 216,430.10 and 85,213.27 is: 117,594.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,833.16 : 216,430.10 = 85,213.27 : x
  2. Step 2: Convert to fraction form
    156,833.16/216,430.10 = 85,213.27/x
  3. Step 3: Cross multiply
    156,833.16x = 216,430.10 × 85,213.27
  4. Step 4: Simplify right side
    156,833.16x = 18,442,716,547.43
  5. Step 5: Solve for x
    x = 18,442,716,547.43/156,833.16
  6. Step 6: Final answer
    x = 117,594.50

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