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Finding the Fourth Proportional to 157,967.83, 237,017.67 and 69,284.98

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Solution

The fourth proportional to 157,967.83, 237,017.67 and 69,284.98 is: 103,956.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,967.83 : 237,017.67 = 69,284.98 : x
  2. Step 2: Convert to fraction form
    157,967.83/237,017.67 = 69,284.98/x
  3. Step 3: Cross multiply
    157,967.83x = 237,017.67 × 69,284.98
  4. Step 4: Simplify right side
    157,967.83x = 16,421,764,525.60
  5. Step 5: Solve for x
    x = 16,421,764,525.60/157,967.83
  6. Step 6: Final answer
    x = 103,956.38

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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.