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Finding the Fourth Proportional to 164,044.84, 245,876.10 and 75,307.72

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Solution

The fourth proportional to 164,044.84, 245,876.10 and 75,307.72 is: 112,873.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,044.84 : 245,876.10 = 75,307.72 : x
  2. Step 2: Convert to fraction form
    164,044.84/245,876.10 = 75,307.72/x
  3. Step 3: Cross multiply
    164,044.84x = 245,876.10 × 75,307.72
  4. Step 4: Simplify right side
    164,044.84x = 18,516,368,493.49
  5. Step 5: Solve for x
    x = 18,516,368,493.49/164,044.84
  6. Step 6: Final answer
    x = 112,873.82

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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.