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Finding the Fourth Proportional to 157,817.62, 236,816.16 and 57,964.96

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Solution

The fourth proportional to 157,817.62, 236,816.16 and 57,964.96 is: 86,980.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,817.62 : 236,816.16 = 57,964.96 : x
  2. Step 2: Convert to fraction form
    157,817.62/236,816.16 = 57,964.96/x
  3. Step 3: Cross multiply
    157,817.62x = 236,816.16 × 57,964.96
  4. Step 4: Simplify right side
    157,817.62x = 13,727,039,241.75
  5. Step 5: Solve for x
    x = 13,727,039,241.75/157,817.62
  6. Step 6: Final answer
    x = 86,980.40

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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.