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Finding the Fourth Proportional to 98,309.90, 135,666.38 and 55,289.39

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Solution

The fourth proportional to 98,309.90, 135,666.38 and 55,289.39 is: 76,298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,309.90 : 135,666.38 = 55,289.39 : x
  2. Step 2: Convert to fraction form
    98,309.90/135,666.38 = 55,289.39/x
  3. Step 3: Cross multiply
    98,309.90x = 135,666.38 × 55,289.39
  4. Step 4: Simplify right side
    98,309.90x = 7,500,911,393.71
  5. Step 5: Solve for x
    x = 7,500,911,393.71/98,309.90
  6. Step 6: Final answer
    x = 76,298.64

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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.