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Finding the Fourth Proportional to 230,457.80, 345,629.10 and 88,272.20

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Solution

The fourth proportional to 230,457.80, 345,629.10 and 88,272.20 is: 132,386.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,457.80 : 345,629.10 = 88,272.20 : x
  2. Step 2: Convert to fraction form
    230,457.80/345,629.10 = 88,272.20/x
  3. Step 3: Cross multiply
    230,457.80x = 345,629.10 × 88,272.20
  4. Step 4: Simplify right side
    230,457.80x = 30,509,441,041.02
  5. Step 5: Solve for x
    x = 30,509,441,041.02/230,457.80
  6. Step 6: Final answer
    x = 132,386.24

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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.