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Finding the Fourth Proportional to 357,636.81, 536,592.78 and 157,816.02

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Solution

The fourth proportional to 357,636.81, 536,592.78 and 157,816.02 is: 236,784.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,636.81 : 536,592.78 = 157,816.02 : x
  2. Step 2: Convert to fraction form
    357,636.81/536,592.78 = 157,816.02/x
  3. Step 3: Cross multiply
    357,636.81x = 536,592.78 × 157,816.02
  4. Step 4: Simplify right side
    357,636.81x = 84,682,936,900.34
  5. Step 5: Solve for x
    x = 84,682,936,900.34/357,636.81
  6. Step 6: Final answer
    x = 236,784.73

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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.