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Finding the Fourth Proportional to 149,999.40, 224,415.90 and 97,511.40

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Solution

The fourth proportional to 149,999.40, 224,415.90 and 97,511.40 is: 145,887.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,999.40 : 224,415.90 = 97,511.40 : x
  2. Step 2: Convert to fraction form
    149,999.40/224,415.90 = 97,511.40/x
  3. Step 3: Cross multiply
    149,999.40x = 224,415.90 × 97,511.40
  4. Step 4: Simplify right side
    149,999.40x = 21,883,108,591.26
  5. Step 5: Solve for x
    x = 21,883,108,591.26/149,999.40
  6. Step 6: Final answer
    x = 145,887.97

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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.