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Finding the Fourth Proportional to 142,233.16, 213,483.66 and 72,162.76

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Solution

The fourth proportional to 142,233.16, 213,483.66 and 72,162.76 is: 108,312.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,233.16 : 213,483.66 = 72,162.76 : x
  2. Step 2: Convert to fraction form
    142,233.16/213,483.66 = 72,162.76/x
  3. Step 3: Cross multiply
    142,233.16x = 213,483.66 × 72,162.76
  4. Step 4: Simplify right side
    142,233.16x = 15,405,570,120.50
  5. Step 5: Solve for x
    x = 15,405,570,120.50/142,233.16
  6. Step 6: Final answer
    x = 108,312.09

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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.