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Finding the Fourth Proportional to 150,896.68, 208,159.33 and 102,501.10

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Solution

The fourth proportional to 150,896.68, 208,159.33 and 102,501.10 is: 141,398.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,896.68 : 208,159.33 = 102,501.10 : x
  2. Step 2: Convert to fraction form
    150,896.68/208,159.33 = 102,501.10/x
  3. Step 3: Cross multiply
    150,896.68x = 208,159.33 × 102,501.10
  4. Step 4: Simplify right side
    150,896.68x = 21,336,560,300.26
  5. Step 5: Solve for x
    x = 21,336,560,300.26/150,896.68
  6. Step 6: Final answer
    x = 141,398.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.