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Finding the Fourth Proportional to 175,574, 263,364.12 and 57,244.88

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Solution

The fourth proportional to 175,574, 263,364.12 and 57,244.88 is: 85,868.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,574 : 263,364.12 = 57,244.88 : x
  2. Step 2: Convert to fraction form
    175,574/263,364.12 = 57,244.88/x
  3. Step 3: Cross multiply
    175,574x = 263,364.12 × 57,244.88
  4. Step 4: Simplify right side
    175,574x = 15,076,247,445.71
  5. Step 5: Solve for x
    x = 15,076,247,445.71/175,574
  6. Step 6: Final answer
    x = 85,868.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.