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Finding the Fourth Proportional to 174,271.40, 260,823.90 and 153,276.20

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Solution

The fourth proportional to 174,271.40, 260,823.90 and 153,276.20 is: 229,401.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,271.40 : 260,823.90 = 153,276.20 : x
  2. Step 2: Convert to fraction form
    174,271.40/260,823.90 = 153,276.20/x
  3. Step 3: Cross multiply
    174,271.40x = 260,823.90 × 153,276.20
  4. Step 4: Simplify right side
    174,271.40x = 39,978,096,261.18
  5. Step 5: Solve for x
    x = 39,978,096,261.18/174,271.40
  6. Step 6: Final answer
    x = 229,401.36

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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.