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Finding the Fourth Proportional to 130,477.30, 180,055.62 and 76,765.78

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Solution

The fourth proportional to 130,477.30, 180,055.62 and 76,765.78 is: 105,934.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,477.30 : 180,055.62 = 76,765.78 : x
  2. Step 2: Convert to fraction form
    130,477.30/180,055.62 = 76,765.78/x
  3. Step 3: Cross multiply
    130,477.30x = 180,055.62 × 76,765.78
  4. Step 4: Simplify right side
    130,477.30x = 13,822,110,112.68
  5. Step 5: Solve for x
    x = 13,822,110,112.68/130,477.30
  6. Step 6: Final answer
    x = 105,934.98

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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.