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Finding the Fourth Proportional to 130,477.25, 180,055.53 and 76,765.73

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Solution

The fourth proportional to 130,477.25, 180,055.53 and 76,765.73 is: 105,934.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,477.25 : 180,055.53 = 76,765.73 : x
  2. Step 2: Convert to fraction form
    130,477.25/180,055.53 = 76,765.73/x
  3. Step 3: Cross multiply
    130,477.25x = 180,055.53 × 76,765.73
  4. Step 4: Simplify right side
    130,477.25x = 13,822,093,300.71
  5. Step 5: Solve for x
    x = 13,822,093,300.71/130,477.25
  6. Step 6: Final answer
    x = 105,934.90

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