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Finding the Fourth Proportional to 213,090.67, 294,060.54 and 117,596.53

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Solution

The fourth proportional to 213,090.67, 294,060.54 and 117,596.53 is: 162,280.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,090.67 : 294,060.54 = 117,596.53 : x
  2. Step 2: Convert to fraction form
    213,090.67/294,060.54 = 117,596.53/x
  3. Step 3: Cross multiply
    213,090.67x = 294,060.54 × 117,596.53
  4. Step 4: Simplify right side
    213,090.67x = 34,580,499,113.93
  5. Step 5: Solve for x
    x = 34,580,499,113.93/213,090.67
  6. Step 6: Final answer
    x = 162,280.68

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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.