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Finding the Fourth Proportional to 269,435.68, 371,830.20 and 146,934.76

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Solution

The fourth proportional to 269,435.68, 371,830.20 and 146,934.76 is: 202,774.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,435.68 : 371,830.20 = 146,934.76 : x
  2. Step 2: Convert to fraction form
    269,435.68/371,830.20 = 146,934.76/x
  3. Step 3: Cross multiply
    269,435.68x = 371,830.20 × 146,934.76
  4. Step 4: Simplify right side
    269,435.68x = 54,634,779,338.60
  5. Step 5: Solve for x
    x = 54,634,779,338.60/269,435.68
  6. Step 6: Final answer
    x = 202,774.85

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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.