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Finding the Fourth Proportional to 94,748.88, 142,048.44 and 65,078.80

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Solution

The fourth proportional to 94,748.88, 142,048.44 and 65,078.80 is: 97,566.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,748.88 : 142,048.44 = 65,078.80 : x
  2. Step 2: Convert to fraction form
    94,748.88/142,048.44 = 65,078.80/x
  3. Step 3: Cross multiply
    94,748.88x = 142,048.44 × 65,078.80
  4. Step 4: Simplify right side
    94,748.88x = 9,244,342,017.07
  5. Step 5: Solve for x
    x = 9,244,342,017.07/94,748.88
  6. Step 6: Final answer
    x = 97,566.77

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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.