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Finding the Fourth Proportional to 152,525.34, 229,958.15 and 142,235.22

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Solution

The fourth proportional to 152,525.34, 229,958.15 and 142,235.22 is: 214,444.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,525.34 : 229,958.15 = 142,235.22 : x
  2. Step 2: Convert to fraction form
    152,525.34/229,958.15 = 142,235.22/x
  3. Step 3: Cross multiply
    152,525.34x = 229,958.15 × 142,235.22
  4. Step 4: Simplify right side
    152,525.34x = 32,708,147,344.87
  5. Step 5: Solve for x
    x = 32,708,147,344.87/152,525.34
  6. Step 6: Final answer
    x = 214,444.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.