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Finding the Fourth Proportional to 269,408, 371,775.93 and 148,547.27

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Solution

The fourth proportional to 269,408, 371,775.93 and 148,547.27 is: 204,991.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,408 : 371,775.93 = 148,547.27 : x
  2. Step 2: Convert to fraction form
    269,408/371,775.93 = 148,547.27/x
  3. Step 3: Cross multiply
    269,408x = 371,775.93 × 148,547.27
  4. Step 4: Simplify right side
    269,408x = 55,226,299,453.21
  5. Step 5: Solve for x
    x = 55,226,299,453.21/269,408
  6. Step 6: Final answer
    x = 204,991.31

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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.