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Finding the Fourth Proportional to 224,334, 309,587.40 and 123,738.48

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Solution

The fourth proportional to 224,334, 309,587.40 and 123,738.48 is: 170,762.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,334 : 309,587.40 = 123,738.48 : x
  2. Step 2: Convert to fraction form
    224,334/309,587.40 = 123,738.48/x
  3. Step 3: Cross multiply
    224,334x = 309,587.40 × 123,738.48
  4. Step 4: Simplify right side
    224,334x = 38,307,874,303.15
  5. Step 5: Solve for x
    x = 38,307,874,303.15/224,334
  6. Step 6: Final answer
    x = 170,762.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.