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Finding the Fourth Proportional to 132,766.84, 183,218.16 and 73,150.84

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Solution

The fourth proportional to 132,766.84, 183,218.16 and 73,150.84 is: 100,948.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,766.84 : 183,218.16 = 73,150.84 : x
  2. Step 2: Convert to fraction form
    132,766.84/183,218.16 = 73,150.84/x
  3. Step 3: Cross multiply
    132,766.84x = 183,218.16 × 73,150.84
  4. Step 4: Simplify right side
    132,766.84x = 13,402,562,307.25
  5. Step 5: Solve for x
    x = 13,402,562,307.25/132,766.84
  6. Step 6: Final answer
    x = 100,948.12

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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.