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Finding the Fourth Proportional to 132,232, 182,480.64 and 72,616

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Solution

The fourth proportional to 132,232, 182,480.64 and 72,616 is: 100,210.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,232 : 182,480.64 = 72,616 : x
  2. Step 2: Convert to fraction form
    132,232/182,480.64 = 72,616/x
  3. Step 3: Cross multiply
    132,232x = 182,480.64 × 72,616
  4. Step 4: Simplify right side
    132,232x = 13,251,014,154.24
  5. Step 5: Solve for x
    x = 13,251,014,154.24/132,232
  6. Step 6: Final answer
    x = 100,210.34

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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.