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Finding the Fourth Proportional to 139,072.86, 208,111.14 and 120,417.48

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Solution

The fourth proportional to 139,072.86, 208,111.14 and 120,417.48 is: 180,194.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,072.86 : 208,111.14 = 120,417.48 : x
  2. Step 2: Convert to fraction form
    139,072.86/208,111.14 = 120,417.48/x
  3. Step 3: Cross multiply
    139,072.86x = 208,111.14 × 120,417.48
  4. Step 4: Simplify right side
    139,072.86x = 25,060,219,038.73
  5. Step 5: Solve for x
    x = 25,060,219,038.73/139,072.86
  6. Step 6: Final answer
    x = 180,194.89

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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.