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Finding the Fourth Proportional to 121,647.84, 182,564.46 and 98,013.12

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Solution

The fourth proportional to 121,647.84, 182,564.46 and 98,013.12 is: 147,094.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,647.84 : 182,564.46 = 98,013.12 : x
  2. Step 2: Convert to fraction form
    121,647.84/182,564.46 = 98,013.12/x
  3. Step 3: Cross multiply
    121,647.84x = 182,564.46 × 98,013.12
  4. Step 4: Simplify right side
    121,647.84x = 17,893,712,325.72
  5. Step 5: Solve for x
    x = 17,893,712,325.72/121,647.84
  6. Step 6: Final answer
    x = 147,094.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.