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Finding the Fourth Proportional to 177,904, 245,515.20 and 98,416

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Solution

The fourth proportional to 177,904, 245,515.20 and 98,416 is: 135,818.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,904 : 245,515.20 = 98,416 : x
  2. Step 2: Convert to fraction form
    177,904/245,515.20 = 98,416/x
  3. Step 3: Cross multiply
    177,904x = 245,515.20 × 98,416
  4. Step 4: Simplify right side
    177,904x = 24,162,623,923.20
  5. Step 5: Solve for x
    x = 24,162,623,923.20/177,904
  6. Step 6: Final answer
    x = 135,818.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.