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Finding the Fourth Proportional to 176,301, 264,451.52 and 44,973

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Solution

The fourth proportional to 176,301, 264,451.52 and 44,973 is: 67,459.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,301 : 264,451.52 = 44,973 : x
  2. Step 2: Convert to fraction form
    176,301/264,451.52 = 44,973/x
  3. Step 3: Cross multiply
    176,301x = 264,451.52 × 44,973
  4. Step 4: Simplify right side
    176,301x = 11,893,178,208.96
  5. Step 5: Solve for x
    x = 11,893,178,208.96/176,301
  6. Step 6: Final answer
    x = 67,459.51

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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.