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Finding the Fourth Proportional to 132,030.80, 182,201.26 and 71,602.77

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Solution

The fourth proportional to 132,030.80, 182,201.26 and 71,602.77 is: 98,811.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,030.80 : 182,201.26 = 71,602.77 : x
  2. Step 2: Convert to fraction form
    132,030.80/182,201.26 = 71,602.77/x
  3. Step 3: Cross multiply
    132,030.80x = 182,201.26 × 71,602.77
  4. Step 4: Simplify right side
    132,030.80x = 13,046,114,913.49
  5. Step 5: Solve for x
    x = 13,046,114,913.49/132,030.80
  6. Step 6: Final answer
    x = 98,811.15

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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.