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Finding the Fourth Proportional to 137,416.84, 206,154.72 and 42,645.02

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Solution

The fourth proportional to 137,416.84, 206,154.72 and 42,645.02 is: 63,976.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,416.84 : 206,154.72 = 42,645.02 : x
  2. Step 2: Convert to fraction form
    137,416.84/206,154.72 = 42,645.02/x
  3. Step 3: Cross multiply
    137,416.84x = 206,154.72 × 42,645.02
  4. Step 4: Simplify right side
    137,416.84x = 8,791,471,126.72
  5. Step 5: Solve for x
    x = 8,791,471,126.72/137,416.84
  6. Step 6: Final answer
    x = 63,976.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.