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Finding the Fourth Proportional to 176,036.40, 264,022.20 and 109,357.20

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Solution

The fourth proportional to 176,036.40, 264,022.20 and 109,357.20 is: 164,015.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,036.40 : 264,022.20 = 109,357.20 : x
  2. Step 2: Convert to fraction form
    176,036.40/264,022.20 = 109,357.20/x
  3. Step 3: Cross multiply
    176,036.40x = 264,022.20 × 109,357.20
  4. Step 4: Simplify right side
    176,036.40x = 28,872,728,529.84
  5. Step 5: Solve for x
    x = 28,872,728,529.84/176,036.40
  6. Step 6: Final answer
    x = 164,015.67

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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.