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Finding the Fourth Proportional to 289,032.17, 398,871.47 and 161,716.01

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Solution

The fourth proportional to 289,032.17, 398,871.47 and 161,716.01 is: 223,172.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,032.17 : 398,871.47 = 161,716.01 : x
  2. Step 2: Convert to fraction form
    289,032.17/398,871.47 = 161,716.01/x
  3. Step 3: Cross multiply
    289,032.17x = 398,871.47 × 161,716.01
  4. Step 4: Simplify right side
    289,032.17x = 64,503,901,041.17
  5. Step 5: Solve for x
    x = 64,503,901,041.17/289,032.17
  6. Step 6: Final answer
    x = 223,172.05

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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.