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Finding the Fourth Proportional to 213,111.76, 294,096.28 and 117,616.40

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Solution

The fourth proportional to 213,111.76, 294,096.28 and 117,616.40 is: 162,311.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,111.76 : 294,096.28 = 117,616.40 : x
  2. Step 2: Convert to fraction form
    213,111.76/294,096.28 = 117,616.40/x
  3. Step 3: Cross multiply
    213,111.76x = 294,096.28 × 117,616.40
  4. Step 4: Simplify right side
    213,111.76x = 34,590,545,706.99
  5. Step 5: Solve for x
    x = 34,590,545,706.99/213,111.76
  6. Step 6: Final answer
    x = 162,311.76

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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.