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Finding the Fourth Proportional to 269,312, 371,648.56 and 148,453.40

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Solution

The fourth proportional to 269,312, 371,648.56 and 148,453.40 is: 204,864.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,312 : 371,648.56 = 148,453.40 : x
  2. Step 2: Convert to fraction form
    269,312/371,648.56 = 148,453.40/x
  3. Step 3: Cross multiply
    269,312x = 371,648.56 × 148,453.40
  4. Step 4: Simplify right side
    269,312x = 55,172,492,337.10
  5. Step 5: Solve for x
    x = 55,172,492,337.10/269,312
  6. Step 6: Final answer
    x = 204,864.59

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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.