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Finding the Fourth Proportional to 105,652.55, 158,464.94 and 52,323.77

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Solution

The fourth proportional to 105,652.55, 158,464.94 and 52,323.77 is: 78,478.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,652.55 : 158,464.94 = 52,323.77 : x
  2. Step 2: Convert to fraction form
    105,652.55/158,464.94 = 52,323.77/x
  3. Step 3: Cross multiply
    105,652.55x = 158,464.94 × 52,323.77
  4. Step 4: Simplify right side
    105,652.55x = 8,291,482,019.68
  5. Step 5: Solve for x
    x = 8,291,482,019.68/105,652.55
  6. Step 6: Final answer
    x = 78,478.77

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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.