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Finding the Fourth Proportional to 233,184.70, 347,958.35 and 208,051.95

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Solution

The fourth proportional to 233,184.70, 347,958.35 and 208,051.95 is: 310,455.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,184.70 : 347,958.35 = 208,051.95 : x
  2. Step 2: Convert to fraction form
    233,184.70/347,958.35 = 208,051.95/x
  3. Step 3: Cross multiply
    233,184.70x = 347,958.35 × 208,051.95
  4. Step 4: Simplify right side
    233,184.70x = 72,393,413,756.41
  5. Step 5: Solve for x
    x = 72,393,413,756.41/233,184.70
  6. Step 6: Final answer
    x = 310,455.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.