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Finding the Fourth Proportional to 98,194, 135,507.72 and 53,482

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Solution

The fourth proportional to 98,194, 135,507.72 and 53,482 is: 73,805.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,194 : 135,507.72 = 53,482 : x
  2. Step 2: Convert to fraction form
    98,194/135,507.72 = 53,482/x
  3. Step 3: Cross multiply
    98,194x = 135,507.72 × 53,482
  4. Step 4: Simplify right side
    98,194x = 7,247,223,881.04
  5. Step 5: Solve for x
    x = 7,247,223,881.04/98,194
  6. Step 6: Final answer
    x = 73,805.16

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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.