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Finding the Fourth Proportional to 157,564.15, 236,235.51 and 57,711.37

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Solution

The fourth proportional to 157,564.15, 236,235.51 and 57,711.37 is: 86,526.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,564.15 : 236,235.51 = 57,711.37 : x
  2. Step 2: Convert to fraction form
    157,564.15/236,235.51 = 57,711.37/x
  3. Step 3: Cross multiply
    157,564.15x = 236,235.51 × 57,711.37
  4. Step 4: Simplify right side
    157,564.15x = 13,633,474,924.75
  5. Step 5: Solve for x
    x = 13,633,474,924.75/157,564.15
  6. Step 6: Final answer
    x = 86,526.50

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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.