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Finding the Fourth Proportional to 177,536.76, 245,008 and 102,085.26

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Solution

The fourth proportional to 177,536.76, 245,008 and 102,085.26 is: 140,881.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,536.76 : 245,008 = 102,085.26 : x
  2. Step 2: Convert to fraction form
    177,536.76/245,008 = 102,085.26/x
  3. Step 3: Cross multiply
    177,536.76x = 245,008 × 102,085.26
  4. Step 4: Simplify right side
    177,536.76x = 25,011,705,382.08
  5. Step 5: Solve for x
    x = 25,011,705,382.08/177,536.76
  6. Step 6: Final answer
    x = 140,881.84

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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.