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Finding the Fourth Proportional to 104,117.34, 156,256.23 and 54,210

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Solution

The fourth proportional to 104,117.34, 156,256.23 and 54,210 is: 81,356.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,117.34 : 156,256.23 = 54,210 : x
  2. Step 2: Convert to fraction form
    104,117.34/156,256.23 = 54,210/x
  3. Step 3: Cross multiply
    104,117.34x = 156,256.23 × 54,210
  4. Step 4: Simplify right side
    104,117.34x = 8,470,650,228.30
  5. Step 5: Solve for x
    x = 8,470,650,228.30/104,117.34
  6. Step 6: Final answer
    x = 81,356.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.