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Finding the Fourth Proportional to 251,802.56, 377,703.90 and 83,277.68

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Solution

The fourth proportional to 251,802.56, 377,703.90 and 83,277.68 is: 124,916.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,802.56 : 377,703.90 = 83,277.68 : x
  2. Step 2: Convert to fraction form
    251,802.56/377,703.90 = 83,277.68/x
  3. Step 3: Cross multiply
    251,802.56x = 377,703.90 × 83,277.68
  4. Step 4: Simplify right side
    251,802.56x = 31,454,302,630.43
  5. Step 5: Solve for x
    x = 31,454,302,630.43/251,802.56
  6. Step 6: Final answer
    x = 124,916.53

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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.