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Finding the Fourth Proportional to 295,542.50, 407,848.65 and 161,406.50

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Solution

The fourth proportional to 295,542.50, 407,848.65 and 161,406.50 is: 222,740.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,542.50 : 407,848.65 = 161,406.50 : x
  2. Step 2: Convert to fraction form
    295,542.50/407,848.65 = 161,406.50/x
  3. Step 3: Cross multiply
    295,542.50x = 407,848.65 × 161,406.50
  4. Step 4: Simplify right side
    295,542.50x = 65,829,423,126.23
  5. Step 5: Solve for x
    x = 65,829,423,126.23/295,542.50
  6. Step 6: Final answer
    x = 222,740.97

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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.