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Finding the Fourth Proportional to 106,412.94, 146,808.54 and 61,074.54

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Solution

The fourth proportional to 106,412.94, 146,808.54 and 61,074.54 is: 84,259.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,412.94 : 146,808.54 = 61,074.54 : x
  2. Step 2: Convert to fraction form
    106,412.94/146,808.54 = 61,074.54/x
  3. Step 3: Cross multiply
    106,412.94x = 146,808.54 × 61,074.54
  4. Step 4: Simplify right side
    106,412.94x = 8,966,264,048.57
  5. Step 5: Solve for x
    x = 8,966,264,048.57/106,412.94
  6. Step 6: Final answer
    x = 84,259.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.