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Finding the Fourth Proportional to 119,446.84, 164,635.50 and 81,655.48

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Solution

The fourth proportional to 119,446.84, 164,635.50 and 81,655.48 is: 112,547.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,446.84 : 164,635.50 = 81,655.48 : x
  2. Step 2: Convert to fraction form
    119,446.84/164,635.50 = 81,655.48/x
  3. Step 3: Cross multiply
    119,446.84x = 164,635.50 × 81,655.48
  4. Step 4: Simplify right side
    119,446.84x = 13,443,390,777.54
  5. Step 5: Solve for x
    x = 13,443,390,777.54/119,446.84
  6. Step 6: Final answer
    x = 112,547.06

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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.