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Finding the Fourth Proportional to 98,154.95, 147,265.36 and 41,971.19

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Solution

The fourth proportional to 98,154.95, 147,265.36 and 41,971.19 is: 62,970.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,154.95 : 147,265.36 = 41,971.19 : x
  2. Step 2: Convert to fraction form
    98,154.95/147,265.36 = 41,971.19/x
  3. Step 3: Cross multiply
    98,154.95x = 147,265.36 × 41,971.19
  4. Step 4: Simplify right side
    98,154.95x = 6,180,901,563.72
  5. Step 5: Solve for x
    x = 6,180,901,563.72/98,154.95
  6. Step 6: Final answer
    x = 62,970.86

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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.