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Finding the Fourth Proportional to 209,797.92, 314,526.06 and 97,548.84

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Solution

The fourth proportional to 209,797.92, 314,526.06 and 97,548.84 is: 146,243.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,797.92 : 314,526.06 = 97,548.84 : x
  2. Step 2: Convert to fraction form
    209,797.92/314,526.06 = 97,548.84/x
  3. Step 3: Cross multiply
    209,797.92x = 314,526.06 × 97,548.84
  4. Step 4: Simplify right side
    209,797.92x = 30,681,652,302.77
  5. Step 5: Solve for x
    x = 30,681,652,302.77/209,797.92
  6. Step 6: Final answer
    x = 146,243.83

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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.