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Finding the Fourth Proportional to 213,143.16, 294,116.58 and 117,643.68

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Solution

The fourth proportional to 213,143.16, 294,116.58 and 117,643.68 is: 162,336.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,143.16 : 294,116.58 = 117,643.68 : x
  2. Step 2: Convert to fraction form
    213,143.16/294,116.58 = 117,643.68/x
  3. Step 3: Cross multiply
    213,143.16x = 294,116.58 × 117,643.68
  4. Step 4: Simplify right side
    213,143.16x = 34,600,956,820.21
  5. Step 5: Solve for x
    x = 34,600,956,820.21/213,143.16
  6. Step 6: Final answer
    x = 162,336.70

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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.