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Finding the Fourth Proportional to 295,154.28, 407,312.96 and 167,837.67

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Solution

The fourth proportional to 295,154.28, 407,312.96 and 167,837.67 is: 231,616.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,154.28 : 407,312.96 = 167,837.67 : x
  2. Step 2: Convert to fraction form
    295,154.28/407,312.96 = 167,837.67/x
  3. Step 3: Cross multiply
    295,154.28x = 407,312.96 × 167,837.67
  4. Step 4: Simplify right side
    295,154.28x = 68,362,457,328.01
  5. Step 5: Solve for x
    x = 68,362,457,328.01/295,154.28
  6. Step 6: Final answer
    x = 231,616.01

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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.