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Finding the Fourth Proportional to 164,102.55, 246,153.83 and 53,294.55

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Solution

The fourth proportional to 164,102.55, 246,153.83 and 53,294.55 is: 79,941.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,102.55 : 246,153.83 = 53,294.55 : x
  2. Step 2: Convert to fraction form
    164,102.55/246,153.83 = 53,294.55/x
  3. Step 3: Cross multiply
    164,102.55x = 246,153.83 × 53,294.55
  4. Step 4: Simplify right side
    164,102.55x = 13,118,657,334.15
  5. Step 5: Solve for x
    x = 13,118,657,334.15/164,102.55
  6. Step 6: Final answer
    x = 79,941.83

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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.