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Finding the Fourth Proportional to 251,503.70, 377,302.14 and 83,035.76

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Solution

The fourth proportional to 251,503.70, 377,302.14 and 83,035.76 is: 124,569.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,503.70 : 377,302.14 = 83,035.76 : x
  2. Step 2: Convert to fraction form
    251,503.70/377,302.14 = 83,035.76/x
  3. Step 3: Cross multiply
    251,503.70x = 377,302.14 × 83,035.76
  4. Step 4: Simplify right side
    251,503.70x = 31,329,568,058.02
  5. Step 5: Solve for x
    x = 31,329,568,058.02/251,503.70
  6. Step 6: Final answer
    x = 124,569.02

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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.