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Finding the Fourth Proportional to 130,915, 180,662.70 and 71,299

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Solution

The fourth proportional to 130,915, 180,662.70 and 71,299 is: 98,392.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,915 : 180,662.70 = 71,299 : x
  2. Step 2: Convert to fraction form
    130,915/180,662.70 = 71,299/x
  3. Step 3: Cross multiply
    130,915x = 180,662.70 × 71,299
  4. Step 4: Simplify right side
    130,915x = 12,881,069,847.30
  5. Step 5: Solve for x
    x = 12,881,069,847.30/130,915
  6. Step 6: Final answer
    x = 98,392.62

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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.