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Finding the Fourth Proportional to 265,617.77, 398,485.85 and 97,134.36

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Solution

The fourth proportional to 265,617.77, 398,485.85 and 97,134.36 is: 145,723.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,617.77 : 398,485.85 = 97,134.36 : x
  2. Step 2: Convert to fraction form
    265,617.77/398,485.85 = 97,134.36/x
  3. Step 3: Cross multiply
    265,617.77x = 398,485.85 × 97,134.36
  4. Step 4: Simplify right side
    265,617.77x = 38,706,666,028.81
  5. Step 5: Solve for x
    x = 38,706,666,028.81/265,617.77
  6. Step 6: Final answer
    x = 145,723.18

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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.