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Finding the Fourth Proportional to 92,317.26, 138,468.72 and 56,783.30

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Solution

The fourth proportional to 92,317.26, 138,468.72 and 56,783.30 is: 85,170.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,317.26 : 138,468.72 = 56,783.30 : x
  2. Step 2: Convert to fraction form
    92,317.26/138,468.72 = 56,783.30/x
  3. Step 3: Cross multiply
    92,317.26x = 138,468.72 × 56,783.30
  4. Step 4: Simplify right side
    92,317.26x = 7,862,710,176.03
  5. Step 5: Solve for x
    x = 7,862,710,176.03/92,317.26
  6. Step 6: Final answer
    x = 85,170.53

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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.