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Finding the Fourth Proportional to 176,441, 264,661.50 and 45,113

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Solution

The fourth proportional to 176,441, 264,661.50 and 45,113 is: 67,669.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,441 : 264,661.50 = 45,113 : x
  2. Step 2: Convert to fraction form
    176,441/264,661.50 = 45,113/x
  3. Step 3: Cross multiply
    176,441x = 264,661.50 × 45,113
  4. Step 4: Simplify right side
    176,441x = 11,939,674,249.50
  5. Step 5: Solve for x
    x = 11,939,674,249.50/176,441
  6. Step 6: Final answer
    x = 67,669.50

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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.