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Finding the Fourth Proportional to 145,865, 201,293.88 and 78,797

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Solution

The fourth proportional to 145,865, 201,293.88 and 78,797 is: 108,739.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,865 : 201,293.88 = 78,797 : x
  2. Step 2: Convert to fraction form
    145,865/201,293.88 = 78,797/x
  3. Step 3: Cross multiply
    145,865x = 201,293.88 × 78,797
  4. Step 4: Simplify right side
    145,865x = 15,861,353,862.36
  5. Step 5: Solve for x
    x = 15,861,353,862.36/145,865
  6. Step 6: Final answer
    x = 108,739.96

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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.