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Finding the Fourth Proportional to 113,323.54, 156,267.74 and 84,597.12

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Solution

The fourth proportional to 113,323.54, 156,267.74 and 84,597.12 is: 116,655.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,323.54 : 156,267.74 = 84,597.12 : x
  2. Step 2: Convert to fraction form
    113,323.54/156,267.74 = 84,597.12/x
  3. Step 3: Cross multiply
    113,323.54x = 156,267.74 × 84,597.12
  4. Step 4: Simplify right side
    113,323.54x = 13,219,800,752.91
  5. Step 5: Solve for x
    x = 13,219,800,752.91/113,323.54
  6. Step 6: Final answer
    x = 116,655.38

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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.