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Finding the Fourth Proportional to 100,175.20, 149,971.20 and 97,259.20

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Solution

The fourth proportional to 100,175.20, 149,971.20 and 97,259.20 is: 145,605.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,175.20 : 149,971.20 = 97,259.20 : x
  2. Step 2: Convert to fraction form
    100,175.20/149,971.20 = 97,259.20/x
  3. Step 3: Cross multiply
    100,175.20x = 149,971.20 × 97,259.20
  4. Step 4: Simplify right side
    100,175.20x = 14,586,078,935.04
  5. Step 5: Solve for x
    x = 14,586,078,935.04/100,175.20
  6. Step 6: Final answer
    x = 145,605.69

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1.5x scale

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.