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Finding the Fourth Proportional to 156,142.46, 234,070.18 and 56,278.22

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Solution

The fourth proportional to 156,142.46, 234,070.18 and 56,278.22 is: 84,365.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,142.46 : 234,070.18 = 56,278.22 : x
  2. Step 2: Convert to fraction form
    156,142.46/234,070.18 = 56,278.22/x
  3. Step 3: Cross multiply
    156,142.46x = 234,070.18 × 56,278.22
  4. Step 4: Simplify right side
    156,142.46x = 13,173,051,774.43
  5. Step 5: Solve for x
    x = 13,173,051,774.43/156,142.46
  6. Step 6: Final answer
    x = 84,365.60

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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.