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Finding the Fourth Proportional to 232,645.80, 321,028.53 and 130,648.07

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Solution

The fourth proportional to 232,645.80, 321,028.53 and 130,648.07 is: 180,281.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,645.80 : 321,028.53 = 130,648.07 : x
  2. Step 2: Convert to fraction form
    232,645.80/321,028.53 = 130,648.07/x
  3. Step 3: Cross multiply
    232,645.80x = 321,028.53 × 130,648.07
  4. Step 4: Simplify right side
    232,645.80x = 41,941,756,254.29
  5. Step 5: Solve for x
    x = 41,941,756,254.29/232,645.80
  6. Step 6: Final answer
    x = 180,281.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.