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Finding the Fourth Proportional to 80,319.34, 120,392.16 and 52,259.50

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Solution

The fourth proportional to 80,319.34, 120,392.16 and 52,259.50 is: 78,332.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,319.34 : 120,392.16 = 52,259.50 : x
  2. Step 2: Convert to fraction form
    80,319.34/120,392.16 = 52,259.50/x
  3. Step 3: Cross multiply
    80,319.34x = 120,392.16 × 52,259.50
  4. Step 4: Simplify right side
    80,319.34x = 6,291,634,085.52
  5. Step 5: Solve for x
    x = 6,291,634,085.52/80,319.34
  6. Step 6: Final answer
    x = 78,332.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.