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Finding the Fourth Proportional to 137,530.20, 189,792.08 and 76,280.76

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Solution

The fourth proportional to 137,530.20, 189,792.08 and 76,280.76 is: 105,267.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,530.20 : 189,792.08 = 76,280.76 : x
  2. Step 2: Convert to fraction form
    137,530.20/189,792.08 = 76,280.76/x
  3. Step 3: Cross multiply
    137,530.20x = 189,792.08 × 76,280.76
  4. Step 4: Simplify right side
    137,530.20x = 14,477,484,104.38
  5. Step 5: Solve for x
    x = 14,477,484,104.38/137,530.20
  6. Step 6: Final answer
    x = 105,267.67

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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.