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Finding the Fourth Proportional to 102,775.94, 154,160.64 and 46,574.90

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Solution

The fourth proportional to 102,775.94, 154,160.64 and 46,574.90 is: 69,860.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,775.94 : 154,160.64 = 46,574.90 : x
  2. Step 2: Convert to fraction form
    102,775.94/154,160.64 = 46,574.90/x
  3. Step 3: Cross multiply
    102,775.94x = 154,160.64 × 46,574.90
  4. Step 4: Simplify right side
    102,775.94x = 7,180,016,391.94
  5. Step 5: Solve for x
    x = 7,180,016,391.94/102,775.94
  6. Step 6: Final answer
    x = 69,860.87

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Why These Related Problems?

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