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Finding the Fourth Proportional to 98,158.26, 147,126.96 and 41,970.18

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Solution

The fourth proportional to 98,158.26, 147,126.96 and 41,970.18 is: 62,908.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,158.26 : 147,126.96 = 41,970.18 : x
  2. Step 2: Convert to fraction form
    98,158.26/147,126.96 = 41,970.18/x
  3. Step 3: Cross multiply
    98,158.26x = 147,126.96 × 41,970.18
  4. Step 4: Simplify right side
    98,158.26x = 6,174,944,994.05
  5. Step 5: Solve for x
    x = 6,174,944,994.05/98,158.26
  6. Step 6: Final answer
    x = 62,908.05

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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.