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Finding the Fourth Proportional to 98,129.50, 135,418.71 and 53,417.50

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Solution

The fourth proportional to 98,129.50, 135,418.71 and 53,417.50 is: 73,716.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,129.50 : 135,418.71 = 53,417.50 : x
  2. Step 2: Convert to fraction form
    98,129.50/135,418.71 = 53,417.50/x
  3. Step 3: Cross multiply
    98,129.50x = 135,418.71 × 53,417.50
  4. Step 4: Simplify right side
    98,129.50x = 7,233,728,941.43
  5. Step 5: Solve for x
    x = 7,233,728,941.43/98,129.50
  6. Step 6: Final answer
    x = 73,716.15

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1.5x scale

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.