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Finding the Fourth Proportional to 106,352, 146,563.87 and 76,084.77

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Solution

The fourth proportional to 106,352, 146,563.87 and 76,084.77 is: 104,852.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,352 : 146,563.87 = 76,084.77 : x
  2. Step 2: Convert to fraction form
    106,352/146,563.87 = 76,084.77/x
  3. Step 3: Cross multiply
    106,352x = 146,563.87 × 76,084.77
  4. Step 4: Simplify right side
    106,352x = 11,151,278,339.26
  5. Step 5: Solve for x
    x = 11,151,278,339.26/106,352
  6. Step 6: Final answer
    x = 104,852.55

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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.