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Finding the Fourth Proportional to 156,944, 216,582.72 and 86,288

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Solution

The fourth proportional to 156,944, 216,582.72 and 86,288 is: 119,077.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,944 : 216,582.72 = 86,288 : x
  2. Step 2: Convert to fraction form
    156,944/216,582.72 = 86,288/x
  3. Step 3: Cross multiply
    156,944x = 216,582.72 × 86,288
  4. Step 4: Simplify right side
    156,944x = 18,688,489,743.36
  5. Step 5: Solve for x
    x = 18,688,489,743.36/156,944
  6. Step 6: Final answer
    x = 119,077.44

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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.