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Finding the Fourth Proportional to 174,057.60, 260,697.60 and 142,953.60

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Solution

The fourth proportional to 174,057.60, 260,697.60 and 142,953.60 is: 214,111.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,057.60 : 260,697.60 = 142,953.60 : x
  2. Step 2: Convert to fraction form
    174,057.60/260,697.60 = 142,953.60/x
  3. Step 3: Cross multiply
    174,057.60x = 260,697.60 × 142,953.60
  4. Step 4: Simplify right side
    174,057.60x = 37,267,660,431.36
  5. Step 5: Solve for x
    x = 37,267,660,431.36/174,057.60
  6. Step 6: Final answer
    x = 214,111.08

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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.