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Finding the Fourth Proportional to 228,045.63, 342,124.10 and 160,708.96

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Solution

The fourth proportional to 228,045.63, 342,124.10 and 160,708.96 is: 241,102.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,045.63 : 342,124.10 = 160,708.96 : x
  2. Step 2: Convert to fraction form
    228,045.63/342,124.10 = 160,708.96/x
  3. Step 3: Cross multiply
    228,045.63x = 342,124.10 × 160,708.96
  4. Step 4: Simplify right side
    228,045.63x = 54,982,409,432.69
  5. Step 5: Solve for x
    x = 54,982,409,432.69/228,045.63
  6. Step 6: Final answer
    x = 241,102.67

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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.