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Finding the Fourth Proportional to 177,847.40, 266,746.80 and 53,188.40

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Solution

The fourth proportional to 177,847.40, 266,746.80 and 53,188.40 is: 79,775.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,847.40 : 266,746.80 = 53,188.40 : x
  2. Step 2: Convert to fraction form
    177,847.40/266,746.80 = 53,188.40/x
  3. Step 3: Cross multiply
    177,847.40x = 266,746.80 × 53,188.40
  4. Step 4: Simplify right side
    177,847.40x = 14,187,835,497.12
  5. Step 5: Solve for x
    x = 14,187,835,497.12/177,847.40
  6. Step 6: Final answer
    x = 79,775.33

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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.