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Finding the Fourth Proportional to 224,726.81, 309,696.62 and 160,953.89

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Solution

The fourth proportional to 224,726.81, 309,696.62 and 160,953.89 is: 221,810.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,726.81 : 309,696.62 = 160,953.89 : x
  2. Step 2: Convert to fraction form
    224,726.81/309,696.62 = 160,953.89/x
  3. Step 3: Cross multiply
    224,726.81x = 309,696.62 × 160,953.89
  4. Step 4: Simplify right side
    224,726.81x = 49,846,873,355.60
  5. Step 5: Solve for x
    x = 49,846,873,355.60/224,726.81
  6. Step 6: Final answer
    x = 221,810.98

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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.