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Finding the Fourth Proportional to 98,185, 135,495.30 and 53,473

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Solution

The fourth proportional to 98,185, 135,495.30 and 53,473 is: 73,792.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,185 : 135,495.30 = 53,473 : x
  2. Step 2: Convert to fraction form
    98,185/135,495.30 = 53,473/x
  3. Step 3: Cross multiply
    98,185x = 135,495.30 × 53,473
  4. Step 4: Simplify right side
    98,185x = 7,245,340,176.90
  5. Step 5: Solve for x
    x = 7,245,340,176.90/98,185
  6. Step 6: Final answer
    x = 73,792.74

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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.