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Finding the Fourth Proportional to 213,383.98, 294,466.45 and 116,585.76

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Solution

The fourth proportional to 213,383.98, 294,466.45 and 116,585.76 is: 160,886.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,383.98 : 294,466.45 = 116,585.76 : x
  2. Step 2: Convert to fraction form
    213,383.98/294,466.45 = 116,585.76/x
  3. Step 3: Cross multiply
    213,383.98x = 294,466.45 × 116,585.76
  4. Step 4: Simplify right side
    213,383.98x = 34,330,595,441.95
  5. Step 5: Solve for x
    x = 34,330,595,441.95/213,383.98
  6. Step 6: Final answer
    x = 160,886.47

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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.