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Finding the Fourth Proportional to 228,461.50, 342,708.72 and 70,669.72

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Solution

The fourth proportional to 228,461.50, 342,708.72 and 70,669.72 is: 106,009.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,461.50 : 342,708.72 = 70,669.72 : x
  2. Step 2: Convert to fraction form
    228,461.50/342,708.72 = 70,669.72/x
  3. Step 3: Cross multiply
    228,461.50x = 342,708.72 × 70,669.72
  4. Step 4: Simplify right side
    228,461.50x = 24,219,129,283.96
  5. Step 5: Solve for x
    x = 24,219,129,283.96/228,461.50
  6. Step 6: Final answer
    x = 106,009.67

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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.