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Finding the Fourth Proportional to 138,338.46, 190,904.48 and 84,619.54

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Solution

The fourth proportional to 138,338.46, 190,904.48 and 84,619.54 is: 116,773.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,338.46 : 190,904.48 = 84,619.54 : x
  2. Step 2: Convert to fraction form
    138,338.46/190,904.48 = 84,619.54/x
  3. Step 3: Cross multiply
    138,338.46x = 190,904.48 × 84,619.54
  4. Step 4: Simplify right side
    138,338.46x = 16,154,249,281.54
  5. Step 5: Solve for x
    x = 16,154,249,281.54/138,338.46
  6. Step 6: Final answer
    x = 116,773.38

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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.