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Finding the Fourth Proportional to 152,059, 209,841.38 and 83,148.64

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Solution

The fourth proportional to 152,059, 209,841.38 and 83,148.64 is: 114,745.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,059 : 209,841.38 = 83,148.64 : x
  2. Step 2: Convert to fraction form
    152,059/209,841.38 = 83,148.64/x
  3. Step 3: Cross multiply
    152,059x = 209,841.38 × 83,148.64
  4. Step 4: Simplify right side
    152,059x = 17,448,025,362.72
  5. Step 5: Solve for x
    x = 17,448,025,362.72/152,059
  6. Step 6: Final answer
    x = 114,745.10

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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.