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Finding the Fourth Proportional to 305,142.32, 421,094.04 and 176,033.36

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Solution

The fourth proportional to 305,142.32, 421,094.04 and 176,033.36 is: 242,924.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,142.32 : 421,094.04 = 176,033.36 : x
  2. Step 2: Convert to fraction form
    305,142.32/421,094.04 = 176,033.36/x
  3. Step 3: Cross multiply
    305,142.32x = 421,094.04 × 176,033.36
  4. Step 4: Simplify right side
    305,142.32x = 74,126,598,737.17
  5. Step 5: Solve for x
    x = 74,126,598,737.17/305,142.32
  6. Step 6: Final answer
    x = 242,924.67

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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.