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Finding the Fourth Proportional to 224,583.94, 309,907.22 and 127,762.04

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Solution

The fourth proportional to 224,583.94, 309,907.22 and 127,762.04 is: 176,301.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,583.94 : 309,907.22 = 127,762.04 : x
  2. Step 2: Convert to fraction form
    224,583.94/309,907.22 = 127,762.04/x
  3. Step 3: Cross multiply
    224,583.94x = 309,907.22 × 127,762.04
  4. Step 4: Simplify right side
    224,583.94x = 39,594,378,637.93
  5. Step 5: Solve for x
    x = 39,594,378,637.93/224,583.94
  6. Step 6: Final answer
    x = 176,301.02

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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.