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Finding the Fourth Proportional to 178,262.77, 245,991.95 and 97,674.25

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Solution

The fourth proportional to 178,262.77, 245,991.95 and 97,674.25 is: 134,784.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,262.77 : 245,991.95 = 97,674.25 : x
  2. Step 2: Convert to fraction form
    178,262.77/245,991.95 = 97,674.25/x
  3. Step 3: Cross multiply
    178,262.77x = 245,991.95 × 97,674.25
  4. Step 4: Simplify right side
    178,262.77x = 24,027,078,733.92
  5. Step 5: Solve for x
    x = 24,027,078,733.92/178,262.77
  6. Step 6: Final answer
    x = 134,784.61

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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.