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Finding the Fourth Proportional to 156,677.42, 235,021.62 and 51,504.50

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Solution

The fourth proportional to 156,677.42, 235,021.62 and 51,504.50 is: 77,258.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,677.42 : 235,021.62 = 51,504.50 : x
  2. Step 2: Convert to fraction form
    156,677.42/235,021.62 = 51,504.50/x
  3. Step 3: Cross multiply
    156,677.42x = 235,021.62 × 51,504.50
  4. Step 4: Simplify right side
    156,677.42x = 12,104,671,027.29
  5. Step 5: Solve for x
    x = 12,104,671,027.29/156,677.42
  6. Step 6: Final answer
    x = 77,258.55

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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.