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Finding the Fourth Proportional to 158,960.48, 238,292.48 and 53,705.84

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Solution

The fourth proportional to 158,960.48, 238,292.48 and 53,705.84 is: 80,508.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,960.48 : 238,292.48 = 53,705.84 : x
  2. Step 2: Convert to fraction form
    158,960.48/238,292.48 = 53,705.84/x
  3. Step 3: Cross multiply
    158,960.48x = 238,292.48 × 53,705.84
  4. Step 4: Simplify right side
    158,960.48x = 12,797,696,746.89
  5. Step 5: Solve for x
    x = 12,797,696,746.89/158,960.48
  6. Step 6: Final answer
    x = 80,508.67

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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.