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Finding the Fourth Proportional to 210,033.43, 289,863.35 and 119,417.83

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Solution

The fourth proportional to 210,033.43, 289,863.35 and 119,417.83 is: 164,806.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,033.43 : 289,863.35 = 119,417.83 : x
  2. Step 2: Convert to fraction form
    210,033.43/289,863.35 = 119,417.83/x
  3. Step 3: Cross multiply
    210,033.43x = 289,863.35 × 119,417.83
  4. Step 4: Simplify right side
    210,033.43x = 34,614,852,253.53
  5. Step 5: Solve for x
    x = 34,614,852,253.53/210,033.43
  6. Step 6: Final answer
    x = 164,806.39

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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.