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Finding the Fourth Proportional to 223,308.60, 308,192.34 and 127,846.05

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Solution

The fourth proportional to 223,308.60, 308,192.34 and 127,846.05 is: 176,442.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,308.60 : 308,192.34 = 127,846.05 : x
  2. Step 2: Convert to fraction form
    223,308.60/308,192.34 = 127,846.05/x
  3. Step 3: Cross multiply
    223,308.60x = 308,192.34 × 127,846.05
  4. Step 4: Simplify right side
    223,308.60x = 39,401,173,309.26
  5. Step 5: Solve for x
    x = 39,401,173,309.26/223,308.60
  6. Step 6: Final answer
    x = 176,442.70

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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.