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Finding the Fourth Proportional to 114,698.46, 171,853.50 and 70,232.34

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Solution

The fourth proportional to 114,698.46, 171,853.50 and 70,232.34 is: 105,229.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,698.46 : 171,853.50 = 70,232.34 : x
  2. Step 2: Convert to fraction form
    114,698.46/171,853.50 = 70,232.34/x
  3. Step 3: Cross multiply
    114,698.46x = 171,853.50 × 70,232.34
  4. Step 4: Simplify right side
    114,698.46x = 12,069,673,442.19
  5. Step 5: Solve for x
    x = 12,069,673,442.19/114,698.46
  6. Step 6: Final answer
    x = 105,229.60

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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.