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Finding the Fourth Proportional to 119,382.10, 164,663.00 and 101,353.01

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Solution

The fourth proportional to 119,382.10, 164,663.00 and 101,353.01 is: 139,795.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,382.10 : 164,663.00 = 101,353.01 : x
  2. Step 2: Convert to fraction form
    119,382.10/164,663.00 = 101,353.01/x
  3. Step 3: Cross multiply
    119,382.10x = 164,663.00 × 101,353.01
  4. Step 4: Simplify right side
    119,382.10x = 16,689,090,590.52
  5. Step 5: Solve for x
    x = 16,689,090,590.52/119,382.10
  6. Step 6: Final answer
    x = 139,795.59

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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.