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Finding the Fourth Proportional to 174,259.70, 260,698.35 and 151,142.90

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Solution

The fourth proportional to 174,259.70, 260,698.35 and 151,142.90 is: 226,114.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,259.70 : 260,698.35 = 151,142.90 : x
  2. Step 2: Convert to fraction form
    174,259.70/260,698.35 = 151,142.90/x
  3. Step 3: Cross multiply
    174,259.70x = 260,698.35 × 151,142.90
  4. Step 4: Simplify right side
    174,259.70x = 39,402,704,644.22
  5. Step 5: Solve for x
    x = 39,402,704,644.22/174,259.70
  6. Step 6: Final answer
    x = 226,114.84

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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.