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Finding the Fourth Proportional to 124,605, 186,985.26 and 50,733

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Solution

The fourth proportional to 124,605, 186,985.26 and 50,733 is: 76,131.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,605 : 186,985.26 = 50,733 : x
  2. Step 2: Convert to fraction form
    124,605/186,985.26 = 50,733/x
  3. Step 3: Cross multiply
    124,605x = 186,985.26 × 50,733
  4. Step 4: Simplify right side
    124,605x = 9,486,323,195.58
  5. Step 5: Solve for x
    x = 9,486,323,195.58/124,605
  6. Step 6: Final answer
    x = 76,131.16

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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.