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Finding the Fourth Proportional to 106,319.64, 159,412.50 and 56,368.20

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Solution

The fourth proportional to 106,319.64, 159,412.50 and 56,368.20 is: 84,516.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,319.64 : 159,412.50 = 56,368.20 : x
  2. Step 2: Convert to fraction form
    106,319.64/159,412.50 = 56,368.20/x
  3. Step 3: Cross multiply
    106,319.64x = 159,412.50 × 56,368.20
  4. Step 4: Simplify right side
    106,319.64x = 8,985,795,682.50
  5. Step 5: Solve for x
    x = 8,985,795,682.50/106,319.64
  6. Step 6: Final answer
    x = 84,516.80

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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.