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Finding the Fourth Proportional to 230,770, 346,155 and 64,558

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Solution

The fourth proportional to 230,770, 346,155 and 64,558 is: 96,837

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,770 : 346,155 = 64,558 : x
  2. Step 2: Convert to fraction form
    230,770/346,155 = 64,558/x
  3. Step 3: Cross multiply
    230,770x = 346,155 × 64,558
  4. Step 4: Simplify right side
    230,770x = 22,347,074,490
  5. Step 5: Solve for x
    x = 22,347,074,490/230,770
  6. Step 6: Final answer
    x = 96,837

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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.