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Finding the Fourth Proportional to 130,477.66, 180,056.12 and 76,766.15

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Solution

The fourth proportional to 130,477.66, 180,056.12 and 76,766.15 is: 105,935.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,477.66 : 180,056.12 = 76,766.15 : x
  2. Step 2: Convert to fraction form
    130,477.66/180,056.12 = 76,766.15/x
  3. Step 3: Cross multiply
    130,477.66x = 180,056.12 × 76,766.15
  4. Step 4: Simplify right side
    130,477.66x = 13,822,215,182.65
  5. Step 5: Solve for x
    x = 13,822,215,182.65/130,477.66
  6. Step 6: Final answer
    x = 105,935.49

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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.