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Finding the Fourth Proportional to 98,265, 135,605.76 and 53,553

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Solution

The fourth proportional to 98,265, 135,605.76 and 53,553 is: 73,903.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,265 : 135,605.76 = 53,553 : x
  2. Step 2: Convert to fraction form
    98,265/135,605.76 = 53,553/x
  3. Step 3: Cross multiply
    98,265x = 135,605.76 × 53,553
  4. Step 4: Simplify right side
    98,265x = 7,262,095,265.28
  5. Step 5: Solve for x
    x = 7,262,095,265.28/98,265
  6. Step 6: Final answer
    x = 73,903.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.