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Finding the Fourth Proportional to 146,368.64, 219,549.90 and 46,529

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Solution

The fourth proportional to 146,368.64, 219,549.90 and 46,529 is: 69,792.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,368.64 : 219,549.90 = 46,529 : x
  2. Step 2: Convert to fraction form
    146,368.64/219,549.90 = 46,529/x
  3. Step 3: Cross multiply
    146,368.64x = 219,549.90 × 46,529
  4. Step 4: Simplify right side
    146,368.64x = 10,215,437,297.10
  5. Step 5: Solve for x
    x = 10,215,437,297.10/146,368.64
  6. Step 6: Final answer
    x = 69,792.53

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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.