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Finding the Fourth Proportional to 265,346.92, 398,019.48 and 107,575

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Solution

The fourth proportional to 265,346.92, 398,019.48 and 107,575 is: 161,362.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,346.92 : 398,019.48 = 107,575 : x
  2. Step 2: Convert to fraction form
    265,346.92/398,019.48 = 107,575/x
  3. Step 3: Cross multiply
    265,346.92x = 398,019.48 × 107,575
  4. Step 4: Simplify right side
    265,346.92x = 42,816,945,561
  5. Step 5: Solve for x
    x = 42,816,945,561/265,346.92
  6. Step 6: Final answer
    x = 161,362.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.