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Finding the Fourth Proportional to 156,970.30, 216,616.44 and 85,352.13

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Solution

The fourth proportional to 156,970.30, 216,616.44 and 85,352.13 is: 117,784.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,970.30 : 216,616.44 = 85,352.13 : x
  2. Step 2: Convert to fraction form
    156,970.30/216,616.44 = 85,352.13/x
  3. Step 3: Cross multiply
    156,970.30x = 216,616.44 × 85,352.13
  4. Step 4: Simplify right side
    156,970.30x = 18,488,674,547.02
  5. Step 5: Solve for x
    x = 18,488,674,547.02/156,970.30
  6. Step 6: Final answer
    x = 117,784.54

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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.