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Finding the Fourth Proportional to 177,625.80, 266,438.70 and 153,779.40

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Solution

The fourth proportional to 177,625.80, 266,438.70 and 153,779.40 is: 230,669.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,625.80 : 266,438.70 = 153,779.40 : x
  2. Step 2: Convert to fraction form
    177,625.80/266,438.70 = 153,779.40/x
  3. Step 3: Cross multiply
    177,625.80x = 266,438.70 × 153,779.40
  4. Step 4: Simplify right side
    177,625.80x = 40,972,783,422.78
  5. Step 5: Solve for x
    x = 40,972,783,422.78/177,625.80
  6. Step 6: Final answer
    x = 230,669.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.