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Finding the Fourth Proportional to 136,518.15, 204,641.15 and 65,309.43

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Solution

The fourth proportional to 136,518.15, 204,641.15 and 65,309.43 is: 97,899.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,518.15 : 204,641.15 = 65,309.43 : x
  2. Step 2: Convert to fraction form
    136,518.15/204,641.15 = 65,309.43/x
  3. Step 3: Cross multiply
    136,518.15x = 204,641.15 × 65,309.43
  4. Step 4: Simplify right side
    136,518.15x = 13,364,996,534.50
  5. Step 5: Solve for x
    x = 13,364,996,534.50/136,518.15
  6. Step 6: Final answer
    x = 97,899.05

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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.