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Finding the Fourth Proportional to 177,176, 265,740.92 and 50,811.14

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Solution

The fourth proportional to 177,176, 265,740.92 and 50,811.14 is: 76,210.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,176 : 265,740.92 = 50,811.14 : x
  2. Step 2: Convert to fraction form
    177,176/265,740.92 = 50,811.14/x
  3. Step 3: Cross multiply
    177,176x = 265,740.92 × 50,811.14
  4. Step 4: Simplify right side
    177,176x = 13,502,599,089.85
  5. Step 5: Solve for x
    x = 13,502,599,089.85/177,176
  6. Step 6: Final answer
    x = 76,210.09

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