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Finding the Fourth Proportional to 176,798.48, 243,871.72 and 107,856.44

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Solution

The fourth proportional to 176,798.48, 243,871.72 and 107,856.44 is: 148,774.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,798.48 : 243,871.72 = 107,856.44 : x
  2. Step 2: Convert to fraction form
    176,798.48/243,871.72 = 107,856.44/x
  3. Step 3: Cross multiply
    176,798.48x = 243,871.72 × 107,856.44
  4. Step 4: Simplify right side
    176,798.48x = 26,303,135,535.88
  5. Step 5: Solve for x
    x = 26,303,135,535.88/176,798.48
  6. Step 6: Final answer
    x = 148,774.67

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Why These Related Problems?

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