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Finding the Fourth Proportional to 223,156.64, 307,957.84 and 127,657.44

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Solution

The fourth proportional to 223,156.64, 307,957.84 and 127,657.44 is: 176,168.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,156.64 : 307,957.84 = 127,657.44 : x
  2. Step 2: Convert to fraction form
    223,156.64/307,957.84 = 127,657.44/x
  3. Step 3: Cross multiply
    223,156.64x = 307,957.84 × 127,657.44
  4. Step 4: Simplify right side
    223,156.64x = 39,313,109,482.33
  5. Step 5: Solve for x
    x = 39,313,109,482.33/223,156.64
  6. Step 6: Final answer
    x = 176,168.23

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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.