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Finding the Fourth Proportional to 163,838, 245,796 and 53,030

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Solution

The fourth proportional to 163,838, 245,796 and 53,030 is: 79,557.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,838 : 245,796 = 53,030 : x
  2. Step 2: Convert to fraction form
    163,838/245,796 = 53,030/x
  3. Step 3: Cross multiply
    163,838x = 245,796 × 53,030
  4. Step 4: Simplify right side
    163,838x = 13,034,561,880
  5. Step 5: Solve for x
    x = 13,034,561,880/163,838
  6. Step 6: Final answer
    x = 79,557.62

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