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Finding the Fourth Proportional to 223,307.85, 308,178.62 and 127,812.36

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Solution

The fourth proportional to 223,307.85, 308,178.62 and 127,812.36 is: 176,388.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,307.85 : 308,178.62 = 127,812.36 : x
  2. Step 2: Convert to fraction form
    223,307.85/308,178.62 = 127,812.36/x
  3. Step 3: Cross multiply
    223,307.85x = 308,178.62 × 127,812.36
  4. Step 4: Simplify right side
    223,307.85x = 39,389,038,438.59
  5. Step 5: Solve for x
    x = 39,389,038,438.59/223,307.85
  6. Step 6: Final answer
    x = 176,388.95

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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.