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Finding the Fourth Proportional to 146,265.50, 219,398.26 and 35,457.50

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Solution

The fourth proportional to 146,265.50, 219,398.26 and 35,457.50 is: 53,186.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,265.50 : 219,398.26 = 35,457.50 : x
  2. Step 2: Convert to fraction form
    146,265.50/219,398.26 = 35,457.50/x
  3. Step 3: Cross multiply
    146,265.50x = 219,398.26 × 35,457.50
  4. Step 4: Simplify right side
    146,265.50x = 7,779,313,803.95
  5. Step 5: Solve for x
    x = 7,779,313,803.95/146,265.50
  6. Step 6: Final answer
    x = 53,186.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.