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Finding the Fourth Proportional to 119,057.34, 164,296.98 and 65,343

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Solution

The fourth proportional to 119,057.34, 164,296.98 and 65,343 is: 90,172.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,057.34 : 164,296.98 = 65,343 : x
  2. Step 2: Convert to fraction form
    119,057.34/164,296.98 = 65,343/x
  3. Step 3: Cross multiply
    119,057.34x = 164,296.98 × 65,343
  4. Step 4: Simplify right side
    119,057.34x = 10,735,657,564.14
  5. Step 5: Solve for x
    x = 10,735,657,564.14/119,057.34
  6. Step 6: Final answer
    x = 90,172.16

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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.