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Finding the Fourth Proportional to 163,864, 245,567.40 and 123,850.16

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Solution

The fourth proportional to 163,864, 245,567.40 and 123,850.16 is: 185,602.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,864 : 245,567.40 = 123,850.16 : x
  2. Step 2: Convert to fraction form
    163,864/245,567.40 = 123,850.16/x
  3. Step 3: Cross multiply
    163,864x = 245,567.40 × 123,850.16
  4. Step 4: Simplify right side
    163,864x = 30,413,561,780.78
  5. Step 5: Solve for x
    x = 30,413,561,780.78/163,864
  6. Step 6: Final answer
    x = 185,602.46

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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.