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Finding the Fourth Proportional to 157,684.50, 236,561.31 and 59,188.50

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Solution

The fourth proportional to 157,684.50, 236,561.31 and 59,188.50 is: 88,795.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,684.50 : 236,561.31 = 59,188.50 : x
  2. Step 2: Convert to fraction form
    157,684.50/236,561.31 = 59,188.50/x
  3. Step 3: Cross multiply
    157,684.50x = 236,561.31 × 59,188.50
  4. Step 4: Simplify right side
    157,684.50x = 14,001,709,096.94
  5. Step 5: Solve for x
    x = 14,001,709,096.94/157,684.50
  6. Step 6: Final answer
    x = 88,795.72

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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.