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Finding the Fourth Proportional to 210,166.95, 290,036.79 and 119,535.96

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Solution

The fourth proportional to 210,166.95, 290,036.79 and 119,535.96 is: 164,963.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,166.95 : 290,036.79 = 119,535.96 : x
  2. Step 2: Convert to fraction form
    210,166.95/290,036.79 = 119,535.96/x
  3. Step 3: Cross multiply
    210,166.95x = 290,036.79 × 119,535.96
  4. Step 4: Simplify right side
    210,166.95x = 34,669,826,127.97
  5. Step 5: Solve for x
    x = 34,669,826,127.97/210,166.95
  6. Step 6: Final answer
    x = 164,963.26

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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.