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Finding the Fourth Proportional to 152,291.76, 210,257.94 and 97,865.96

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Solution

The fourth proportional to 152,291.76, 210,257.94 and 97,865.96 is: 135,116.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,291.76 : 210,257.94 = 97,865.96 : x
  2. Step 2: Convert to fraction form
    152,291.76/210,257.94 = 97,865.96/x
  3. Step 3: Cross multiply
    152,291.76x = 210,257.94 × 97,865.96
  4. Step 4: Simplify right side
    152,291.76x = 20,577,095,145.72
  5. Step 5: Solve for x
    x = 20,577,095,145.72/152,291.76
  6. Step 6: Final answer
    x = 135,116.27

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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.