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Finding the Fourth Proportional to 152,605.90, 210,570.48 and 101,694.64

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Solution

The fourth proportional to 152,605.90, 210,570.48 and 101,694.64 is: 140,321.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,605.90 : 210,570.48 = 101,694.64 : x
  2. Step 2: Convert to fraction form
    152,605.90/210,570.48 = 101,694.64/x
  3. Step 3: Cross multiply
    152,605.90x = 210,570.48 × 101,694.64
  4. Step 4: Simplify right side
    152,605.90x = 21,413,889,158.23
  5. Step 5: Solve for x
    x = 21,413,889,158.23/152,605.90
  6. Step 6: Final answer
    x = 140,321.50

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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.