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Finding the Fourth Proportional to 176,438, 264,657 and 45,110

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Solution

The fourth proportional to 176,438, 264,657 and 45,110 is: 67,665

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,438 : 264,657 = 45,110 : x
  2. Step 2: Convert to fraction form
    176,438/264,657 = 45,110/x
  3. Step 3: Cross multiply
    176,438x = 264,657 × 45,110
  4. Step 4: Simplify right side
    176,438x = 11,938,677,270
  5. Step 5: Solve for x
    x = 11,938,677,270/176,438
  6. Step 6: Final answer
    x = 67,665

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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.