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Finding the Fourth Proportional to 212,032.99, 292,601.77 and 116,539.66

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Solution

The fourth proportional to 212,032.99, 292,601.77 and 116,539.66 is: 160,822.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,032.99 : 292,601.77 = 116,539.66 : x
  2. Step 2: Convert to fraction form
    212,032.99/292,601.77 = 116,539.66/x
  3. Step 3: Cross multiply
    212,032.99x = 292,601.77 × 116,539.66
  4. Step 4: Simplify right side
    212,032.99x = 34,099,710,865.60
  5. Step 5: Solve for x
    x = 34,099,710,865.60/212,032.99
  6. Step 6: Final answer
    x = 160,822.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.