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Finding the Fourth Proportional to 191,382.95, 264,118.83 and 106,501.84

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Solution

The fourth proportional to 191,382.95, 264,118.83 and 106,501.84 is: 146,978.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,382.95 : 264,118.83 = 106,501.84 : x
  2. Step 2: Convert to fraction form
    191,382.95/264,118.83 = 106,501.84/x
  3. Step 3: Cross multiply
    191,382.95x = 264,118.83 × 106,501.84
  4. Step 4: Simplify right side
    191,382.95x = 28,129,140,313.97
  5. Step 5: Solve for x
    x = 28,129,140,313.97/191,382.95
  6. Step 6: Final answer
    x = 146,978.30

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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.