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Finding the Fourth Proportional to 135,296.94, 186,729.59 and 77,925.23

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Solution

The fourth proportional to 135,296.94, 186,729.59 and 77,925.23 is: 107,548.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,296.94 : 186,729.59 = 77,925.23 : x
  2. Step 2: Convert to fraction form
    135,296.94/186,729.59 = 77,925.23/x
  3. Step 3: Cross multiply
    135,296.94x = 186,729.59 × 77,925.23
  4. Step 4: Simplify right side
    135,296.94x = 14,550,946,325.75
  5. Step 5: Solve for x
    x = 14,550,946,325.75/135,296.94
  6. Step 6: Final answer
    x = 107,548.23

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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.