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Finding the Fourth Proportional to 152,344.84, 228,604.71 and 118,971.22

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Solution

The fourth proportional to 152,344.84, 228,604.71 and 118,971.22 is: 178,525.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,344.84 : 228,604.71 = 118,971.22 : x
  2. Step 2: Convert to fraction form
    152,344.84/228,604.71 = 118,971.22/x
  3. Step 3: Cross multiply
    152,344.84x = 228,604.71 × 118,971.22
  4. Step 4: Simplify right side
    152,344.84x = 27,197,381,246.45
  5. Step 5: Solve for x
    x = 27,197,381,246.45/152,344.84
  6. Step 6: Final answer
    x = 178,525.12

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Why These Related Problems?

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