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Finding the Fourth Proportional to 152,201.70, 228,312.54 and 39,884.67

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Solution

The fourth proportional to 152,201.70, 228,312.54 and 39,884.67 is: 59,829.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,201.70 : 228,312.54 = 39,884.67 : x
  2. Step 2: Convert to fraction form
    152,201.70/228,312.54 = 39,884.67/x
  3. Step 3: Cross multiply
    152,201.70x = 228,312.54 × 39,884.67
  4. Step 4: Simplify right side
    152,201.70x = 9,106,170,314.76
  5. Step 5: Solve for x
    x = 9,106,170,314.76/152,201.70
  6. Step 6: Final answer
    x = 59,829.62

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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.