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Finding the Fourth Proportional to 97,188.80, 134,072.16 and 65,359.04

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Solution

The fourth proportional to 97,188.80, 134,072.16 and 65,359.04 is: 90,162.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,188.80 : 134,072.16 = 65,359.04 : x
  2. Step 2: Convert to fraction form
    97,188.80/134,072.16 = 65,359.04/x
  3. Step 3: Cross multiply
    97,188.80x = 134,072.16 × 65,359.04
  4. Step 4: Simplify right side
    97,188.80x = 8,762,827,668.33
  5. Step 5: Solve for x
    x = 8,762,827,668.33/97,188.80
  6. Step 6: Final answer
    x = 90,162.94

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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.