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Finding the Fourth Proportional to 98,010, 135,254.88 and 53,298

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Solution

The fourth proportional to 98,010, 135,254.88 and 53,298 is: 73,551.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,010 : 135,254.88 = 53,298 : x
  2. Step 2: Convert to fraction form
    98,010/135,254.88 = 53,298/x
  3. Step 3: Cross multiply
    98,010x = 135,254.88 × 53,298
  4. Step 4: Simplify right side
    98,010x = 7,208,814,594.24
  5. Step 5: Solve for x
    x = 7,208,814,594.24/98,010
  6. Step 6: Final answer
    x = 73,551.83

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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.