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Finding the Fourth Proportional to 298,903.34, 412,465.98 and 168,100.55

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Solution

The fourth proportional to 298,903.34, 412,465.98 and 168,100.55 is: 231,967.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,903.34 : 412,465.98 = 168,100.55 : x
  2. Step 2: Convert to fraction form
    298,903.34/412,465.98 = 168,100.55/x
  3. Step 3: Cross multiply
    298,903.34x = 412,465.98 × 168,100.55
  4. Step 4: Simplify right side
    298,903.34x = 69,335,758,094.29
  5. Step 5: Solve for x
    x = 69,335,758,094.29/298,903.34
  6. Step 6: Final answer
    x = 231,967.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.