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Finding the Fourth Proportional to 152,425.84, 228,590.29 and 142,475.14

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Solution

The fourth proportional to 152,425.84, 228,590.29 and 142,475.14 is: 213,667.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,425.84 : 228,590.29 = 142,475.14 : x
  2. Step 2: Convert to fraction form
    152,425.84/228,590.29 = 142,475.14/x
  3. Step 3: Cross multiply
    152,425.84x = 228,590.29 × 142,475.14
  4. Step 4: Simplify right side
    152,425.84x = 32,568,434,158.49
  5. Step 5: Solve for x
    x = 32,568,434,158.49/152,425.84
  6. Step 6: Final answer
    x = 213,667.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.