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Finding the Fourth Proportional to 269,231.93, 371,547.85 and 148,381

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Solution

The fourth proportional to 269,231.93, 371,547.85 and 148,381 is: 204,770.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,231.93 : 371,547.85 = 148,381 : x
  2. Step 2: Convert to fraction form
    269,231.93/371,547.85 = 148,381/x
  3. Step 3: Cross multiply
    269,231.93x = 371,547.85 × 148,381
  4. Step 4: Simplify right side
    269,231.93x = 55,130,641,530.85
  5. Step 5: Solve for x
    x = 55,130,641,530.85/269,231.93
  6. Step 6: Final answer
    x = 204,770.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.