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Finding the Fourth Proportional to 132,598, 182,985.24 and 72,982

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Solution

The fourth proportional to 132,598, 182,985.24 and 72,982 is: 100,715.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,598 : 182,985.24 = 72,982 : x
  2. Step 2: Convert to fraction form
    132,598/182,985.24 = 72,982/x
  3. Step 3: Cross multiply
    132,598x = 182,985.24 × 72,982
  4. Step 4: Simplify right side
    132,598x = 13,354,628,785.68
  5. Step 5: Solve for x
    x = 13,354,628,785.68/132,598
  6. Step 6: Final answer
    x = 100,715.16

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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.