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Finding the Fourth Proportional to 174,259.20, 260,697.60 and 151,142.40

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Solution

The fourth proportional to 174,259.20, 260,697.60 and 151,142.40 is: 226,114.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,259.20 : 260,697.60 = 151,142.40 : x
  2. Step 2: Convert to fraction form
    174,259.20/260,697.60 = 151,142.40/x
  3. Step 3: Cross multiply
    174,259.20x = 260,697.60 × 151,142.40
  4. Step 4: Simplify right side
    174,259.20x = 39,402,460,938.24
  5. Step 5: Solve for x
    x = 39,402,460,938.24/174,259.20
  6. Step 6: Final answer
    x = 226,114.09

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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.