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Finding the Fourth Proportional to 174,202.60, 260,915.10 and 134,631.40

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Solution

The fourth proportional to 174,202.60, 260,915.10 and 134,631.40 is: 201,646.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,202.60 : 260,915.10 = 134,631.40 : x
  2. Step 2: Convert to fraction form
    174,202.60/260,915.10 = 134,631.40/x
  3. Step 3: Cross multiply
    174,202.60x = 260,915.10 × 134,631.40
  4. Step 4: Simplify right side
    174,202.60x = 35,127,365,194.14
  5. Step 5: Solve for x
    x = 35,127,365,194.14/174,202.60
  6. Step 6: Final answer
    x = 201,646.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.