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Finding the Fourth Proportional to 213,146.61, 294,140.91 and 116,350.08

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Solution

The fourth proportional to 213,146.61, 294,140.91 and 116,350.08 is: 160,562.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,146.61 : 294,140.91 = 116,350.08 : x
  2. Step 2: Convert to fraction form
    213,146.61/294,140.91 = 116,350.08/x
  3. Step 3: Cross multiply
    213,146.61x = 294,140.91 × 116,350.08
  4. Step 4: Simplify right side
    213,146.61x = 34,223,318,409.77
  5. Step 5: Solve for x
    x = 34,223,318,409.77/213,146.61
  6. Step 6: Final answer
    x = 160,562.34

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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.