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Finding the Fourth Proportional to 89,868.96, 134,802.80 and 70,164

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Solution

The fourth proportional to 89,868.96, 134,802.80 and 70,164 is: 105,245.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,868.96 : 134,802.80 = 70,164 : x
  2. Step 2: Convert to fraction form
    89,868.96/134,802.80 = 70,164/x
  3. Step 3: Cross multiply
    89,868.96x = 134,802.80 × 70,164
  4. Step 4: Simplify right side
    89,868.96x = 9,458,303,659.20
  5. Step 5: Solve for x
    x = 9,458,303,659.20/89,868.96
  6. Step 6: Final answer
    x = 105,245.50

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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.