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Finding the Fourth Proportional to 295,124.81, 407,235.26 and 166,047.39

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Solution

The fourth proportional to 295,124.81, 407,235.26 and 166,047.39 is: 229,124.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,124.81 : 407,235.26 = 166,047.39 : x
  2. Step 2: Convert to fraction form
    295,124.81/407,235.26 = 166,047.39/x
  3. Step 3: Cross multiply
    295,124.81x = 407,235.26 × 166,047.39
  4. Step 4: Simplify right side
    295,124.81x = 67,620,352,454.09
  5. Step 5: Solve for x
    x = 67,620,352,454.09/295,124.81
  6. Step 6: Final answer
    x = 229,124.60

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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.