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Finding the Fourth Proportional to 269,443.74, 371,830.11 and 148,590.06

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Solution

The fourth proportional to 269,443.74, 371,830.11 and 148,590.06 is: 205,053.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,443.74 : 371,830.11 = 148,590.06 : x
  2. Step 2: Convert to fraction form
    269,443.74/371,830.11 = 148,590.06/x
  3. Step 3: Cross multiply
    269,443.74x = 371,830.11 × 148,590.06
  4. Step 4: Simplify right side
    269,443.74x = 55,250,258,354.71
  5. Step 5: Solve for x
    x = 55,250,258,354.71/269,443.74
  6. Step 6: Final answer
    x = 205,053.04

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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.