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Finding the Fourth Proportional to 130,830.66, 196,246.74 and 46,594.10

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Solution

The fourth proportional to 130,830.66, 196,246.74 and 46,594.10 is: 69,891.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,830.66 : 196,246.74 = 46,594.10 : x
  2. Step 2: Convert to fraction form
    130,830.66/196,246.74 = 46,594.10/x
  3. Step 3: Cross multiply
    130,830.66x = 196,246.74 × 46,594.10
  4. Step 4: Simplify right side
    130,830.66x = 9,143,940,228.23
  5. Step 5: Solve for x
    x = 9,143,940,228.23/130,830.66
  6. Step 6: Final answer
    x = 69,891.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.