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Finding the Fourth Proportional to 130,880.16, 180,608.40 and 74,283.84

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Solution

The fourth proportional to 130,880.16, 180,608.40 and 74,283.84 is: 102,508.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,880.16 : 180,608.40 = 74,283.84 : x
  2. Step 2: Convert to fraction form
    130,880.16/180,608.40 = 74,283.84/x
  3. Step 3: Cross multiply
    130,880.16x = 180,608.40 × 74,283.84
  4. Step 4: Simplify right side
    130,880.16x = 13,416,285,488.26
  5. Step 5: Solve for x
    x = 13,416,285,488.26/130,880.16
  6. Step 6: Final answer
    x = 102,508.17

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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.