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Finding the Fourth Proportional to 228,002.77, 314,567.11 and 147,532.11

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Solution

The fourth proportional to 228,002.77, 314,567.11 and 147,532.11 is: 203,544.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,002.77 : 314,567.11 = 147,532.11 : x
  2. Step 2: Convert to fraction form
    228,002.77/314,567.11 = 147,532.11/x
  3. Step 3: Cross multiply
    228,002.77x = 314,567.11 × 147,532.11
  4. Step 4: Simplify right side
    228,002.77x = 46,408,749,474.90
  5. Step 5: Solve for x
    x = 46,408,749,474.90/228,002.77
  6. Step 6: Final answer
    x = 203,544.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.