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Finding the Fourth Proportional to 135,133, 186,495.06 and 75,528.52

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Solution

The fourth proportional to 135,133, 186,495.06 and 75,528.52 is: 104,235.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,133 : 186,495.06 = 75,528.52 : x
  2. Step 2: Convert to fraction form
    135,133/186,495.06 = 75,528.52/x
  3. Step 3: Cross multiply
    135,133x = 186,495.06 × 75,528.52
  4. Step 4: Simplify right side
    135,133x = 14,085,695,869.11
  5. Step 5: Solve for x
    x = 14,085,695,869.11/135,133
  6. Step 6: Final answer
    x = 104,235.80

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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.