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Finding the Fourth Proportional to 146,265, 219,397.50 and 35,457

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Solution

The fourth proportional to 146,265, 219,397.50 and 35,457 is: 53,185.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,265 : 219,397.50 = 35,457 : x
  2. Step 2: Convert to fraction form
    146,265/219,397.50 = 35,457/x
  3. Step 3: Cross multiply
    146,265x = 219,397.50 × 35,457
  4. Step 4: Simplify right side
    146,265x = 7,779,177,157.50
  5. Step 5: Solve for x
    x = 7,779,177,157.50/146,265
  6. Step 6: Final answer
    x = 53,185.50

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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.