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Finding the Fourth Proportional to 114,258.20, 171,041.70 and 101,816.60

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Solution

The fourth proportional to 114,258.20, 171,041.70 and 101,816.60 is: 152,416.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,258.20 : 171,041.70 = 101,816.60 : x
  2. Step 2: Convert to fraction form
    114,258.20/171,041.70 = 101,816.60/x
  3. Step 3: Cross multiply
    114,258.20x = 171,041.70 × 101,816.60
  4. Step 4: Simplify right side
    114,258.20x = 17,414,884,352.22
  5. Step 5: Solve for x
    x = 17,414,884,352.22/114,258.20
  6. Step 6: Final answer
    x = 152,416.93

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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.