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Finding the Fourth Proportional to 224,322, 309,570.84 and 123,726.48

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Solution

The fourth proportional to 224,322, 309,570.84 and 123,726.48 is: 170,746.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,322 : 309,570.84 = 123,726.48 : x
  2. Step 2: Convert to fraction form
    224,322/309,570.84 = 123,726.48/x
  3. Step 3: Cross multiply
    224,322x = 309,570.84 × 123,726.48
  4. Step 4: Simplify right side
    224,322x = 38,302,110,343.84
  5. Step 5: Solve for x
    x = 38,302,110,343.84/224,322
  6. Step 6: Final answer
    x = 170,746.12

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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.