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Finding the Fourth Proportional to 130,613.30, 180,248.40 and 76,164

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Solution

The fourth proportional to 130,613.30, 180,248.40 and 76,164 is: 105,107.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,613.30 : 180,248.40 = 76,164 : x
  2. Step 2: Convert to fraction form
    130,613.30/180,248.40 = 76,164/x
  3. Step 3: Cross multiply
    130,613.30x = 180,248.40 × 76,164
  4. Step 4: Simplify right side
    130,613.30x = 13,728,439,137.60
  5. Step 5: Solve for x
    x = 13,728,439,137.60/130,613.30
  6. Step 6: Final answer
    x = 105,107.51

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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.