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Finding the Fourth Proportional to 295,133.64, 407,243.34 and 167,795.16

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Solution

The fourth proportional to 295,133.64, 407,243.34 and 167,795.16 is: 231,533.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,133.64 : 407,243.34 = 167,795.16 : x
  2. Step 2: Convert to fraction form
    295,133.64/407,243.34 = 167,795.16/x
  3. Step 3: Cross multiply
    295,133.64x = 407,243.34 × 167,795.16
  4. Step 4: Simplify right side
    295,133.64x = 68,333,461,394.23
  5. Step 5: Solve for x
    x = 68,333,461,394.23/295,133.64
  6. Step 6: Final answer
    x = 231,533.96

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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.