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Finding the Fourth Proportional to 230,492, 345,874.08 and 97,363.64

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Solution

The fourth proportional to 230,492, 345,874.08 and 97,363.64 is: 146,102.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,492 : 345,874.08 = 97,363.64 : x
  2. Step 2: Convert to fraction form
    230,492/345,874.08 = 97,363.64/x
  3. Step 3: Cross multiply
    230,492x = 345,874.08 × 97,363.64
  4. Step 4: Simplify right side
    230,492x = 33,675,559,410.45
  5. Step 5: Solve for x
    x = 33,675,559,410.45/230,492
  6. Step 6: Final answer
    x = 146,102.94

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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.