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Finding the Fourth Proportional to 213,812.79, 295,041.57 and 127,754.64

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Solution

The fourth proportional to 213,812.79, 295,041.57 and 127,754.64 is: 176,289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,812.79 : 295,041.57 = 127,754.64 : x
  2. Step 2: Convert to fraction form
    213,812.79/295,041.57 = 127,754.64/x
  3. Step 3: Cross multiply
    213,812.79x = 295,041.57 × 127,754.64
  4. Step 4: Simplify right side
    213,812.79x = 37,692,929,560.38
  5. Step 5: Solve for x
    x = 37,692,929,560.38/213,812.79
  6. Step 6: Final answer
    x = 176,289.41

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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.