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Finding the Fourth Proportional to 152,319.69, 210,297.06 and 97,896.20

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Solution

The fourth proportional to 152,319.69, 210,297.06 and 97,896.20 is: 135,158.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,319.69 : 210,297.06 = 97,896.20 : x
  2. Step 2: Convert to fraction form
    152,319.69/210,297.06 = 97,896.20/x
  3. Step 3: Cross multiply
    152,319.69x = 210,297.06 × 97,896.20
  4. Step 4: Simplify right side
    152,319.69x = 20,587,281,993.69
  5. Step 5: Solve for x
    x = 20,587,281,993.69/152,319.69
  6. Step 6: Final answer
    x = 135,158.38

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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.