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Finding the Fourth Proportional to 200,547.16, 300,487.22 and 141,257.59

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Solution

The fourth proportional to 200,547.16, 300,487.22 and 141,257.59 is: 211,651.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,547.16 : 300,487.22 = 141,257.59 : x
  2. Step 2: Convert to fraction form
    200,547.16/300,487.22 = 141,257.59/x
  3. Step 3: Cross multiply
    200,547.16x = 300,487.22 × 141,257.59
  4. Step 4: Simplify right side
    200,547.16x = 42,446,099,595.21
  5. Step 5: Solve for x
    x = 42,446,099,595.21/200,547.16
  6. Step 6: Final answer
    x = 211,651.46

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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.