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Finding the Fourth Proportional to 213,225.84, 294,243.94 and 117,730.49

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Solution

The fourth proportional to 213,225.84, 294,243.94 and 117,730.49 is: 162,463.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,225.84 : 294,243.94 = 117,730.49 : x
  2. Step 2: Convert to fraction form
    213,225.84/294,243.94 = 117,730.49/x
  3. Step 3: Cross multiply
    213,225.84x = 294,243.94 × 117,730.49
  4. Step 4: Simplify right side
    213,225.84x = 34,641,482,739.24
  5. Step 5: Solve for x
    x = 34,641,482,739.24/213,225.84
  6. Step 6: Final answer
    x = 162,463.81

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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.