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Finding the Fourth Proportional to 114,311.52, 157,368.72 and 98,331.84

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Solution

The fourth proportional to 114,311.52, 157,368.72 and 98,331.84 is: 135,370.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,311.52 : 157,368.72 = 98,331.84 : x
  2. Step 2: Convert to fraction form
    114,311.52/157,368.72 = 98,331.84/x
  3. Step 3: Cross multiply
    114,311.52x = 157,368.72 × 98,331.84
  4. Step 4: Simplify right side
    114,311.52x = 15,474,355,796.04
  5. Step 5: Solve for x
    x = 15,474,355,796.04/114,311.52
  6. Step 6: Final answer
    x = 135,370.05

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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.