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Finding the Fourth Proportional to 251,430.74, 377,192.51 and 82,962.71

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Solution

The fourth proportional to 251,430.74, 377,192.51 and 82,962.71 is: 124,459.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,430.74 : 377,192.51 = 82,962.71 : x
  2. Step 2: Convert to fraction form
    251,430.74/377,192.51 = 82,962.71/x
  3. Step 3: Cross multiply
    251,430.74x = 377,192.51 × 82,962.71
  4. Step 4: Simplify right side
    251,430.74x = 31,292,913,349.47
  5. Step 5: Solve for x
    x = 31,292,913,349.47/251,430.74
  6. Step 6: Final answer
    x = 124,459.38

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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.