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Finding the Fourth Proportional to 152,301.34, 228,378 and 76,367.26

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Solution

The fourth proportional to 152,301.34, 228,378 and 76,367.26 is: 114,513.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,301.34 : 228,378 = 76,367.26 : x
  2. Step 2: Convert to fraction form
    152,301.34/228,378 = 76,367.26/x
  3. Step 3: Cross multiply
    152,301.34x = 228,378 × 76,367.26
  4. Step 4: Simplify right side
    152,301.34x = 17,440,602,104.28
  5. Step 5: Solve for x
    x = 17,440,602,104.28/152,301.34
  6. Step 6: Final answer
    x = 114,513.78

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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.