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Finding the Fourth Proportional to 200,773.80, 301,226.31 and 144,567.90

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Solution

The fourth proportional to 200,773.80, 301,226.31 and 144,567.90 is: 216,899.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,773.80 : 301,226.31 = 144,567.90 : x
  2. Step 2: Convert to fraction form
    200,773.80/301,226.31 = 144,567.90/x
  3. Step 3: Cross multiply
    200,773.80x = 301,226.31 × 144,567.90
  4. Step 4: Simplify right side
    200,773.80x = 43,547,655,061.45
  5. Step 5: Solve for x
    x = 43,547,655,061.45/200,773.80
  6. Step 6: Final answer
    x = 216,899.09

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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.