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Finding the Fourth Proportional to 102,098.36, 153,163.88 and 35,557.40

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Solution

The fourth proportional to 102,098.36, 153,163.88 and 35,557.40 is: 53,341.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,098.36 : 153,163.88 = 35,557.40 : x
  2. Step 2: Convert to fraction form
    102,098.36/153,163.88 = 35,557.40/x
  3. Step 3: Cross multiply
    102,098.36x = 153,163.88 × 35,557.40
  4. Step 4: Simplify right side
    102,098.36x = 5,446,109,346.71
  5. Step 5: Solve for x
    x = 5,446,109,346.71/102,098.36
  6. Step 6: Final answer
    x = 53,341.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.