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Finding the Fourth Proportional to 150,003.70, 224,746.35 and 97,386.10

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Solution

The fourth proportional to 150,003.70, 224,746.35 and 97,386.10 is: 145,910.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,003.70 : 224,746.35 = 97,386.10 : x
  2. Step 2: Convert to fraction form
    150,003.70/224,746.35 = 97,386.10/x
  3. Step 3: Cross multiply
    150,003.70x = 224,746.35 × 97,386.10
  4. Step 4: Simplify right side
    150,003.70x = 21,887,170,515.74
  5. Step 5: Solve for x
    x = 21,887,170,515.74/150,003.70
  6. Step 6: Final answer
    x = 145,910.87

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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.