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Finding the Fourth Proportional to 283,165.36, 390,723.42 and 162,283.36

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Solution

The fourth proportional to 283,165.36, 390,723.42 and 162,283.36 is: 223,925.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,165.36 : 390,723.42 = 162,283.36 : x
  2. Step 2: Convert to fraction form
    283,165.36/390,723.42 = 162,283.36/x
  3. Step 3: Cross multiply
    283,165.36x = 390,723.42 × 162,283.36
  4. Step 4: Simplify right side
    283,165.36x = 63,407,909,428.29
  5. Step 5: Solve for x
    x = 63,407,909,428.29/283,165.36
  6. Step 6: Final answer
    x = 223,925.38

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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.