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Finding the Fourth Proportional to 200,903.68, 301,411.14 and 163,370.98

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Solution

The fourth proportional to 200,903.68, 301,411.14 and 163,370.98 is: 245,101.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,903.68 : 301,411.14 = 163,370.98 : x
  2. Step 2: Convert to fraction form
    200,903.68/301,411.14 = 163,370.98/x
  3. Step 3: Cross multiply
    200,903.68x = 301,411.14 × 163,370.98
  4. Step 4: Simplify right side
    200,903.68x = 49,241,833,324.72
  5. Step 5: Solve for x
    x = 49,241,833,324.72/200,903.68
  6. Step 6: Final answer
    x = 245,101.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.