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Finding the Fourth Proportional to 159,369.96, 238,978.70 and 92,829.07

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Solution

The fourth proportional to 159,369.96, 238,978.70 and 92,829.07 is: 139,199.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,369.96 : 238,978.70 = 92,829.07 : x
  2. Step 2: Convert to fraction form
    159,369.96/238,978.70 = 92,829.07/x
  3. Step 3: Cross multiply
    159,369.96x = 238,978.70 × 92,829.07
  4. Step 4: Simplify right side
    159,369.96x = 22,184,168,811.77
  5. Step 5: Solve for x
    x = 22,184,168,811.77/159,369.96
  6. Step 6: Final answer
    x = 139,199.19

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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.