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Finding the Fourth Proportional to 174,266.40, 260,816.40 and 153,271.20

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Solution

The fourth proportional to 174,266.40, 260,816.40 and 153,271.20 is: 229,393.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,266.40 : 260,816.40 = 153,271.20 : x
  2. Step 2: Convert to fraction form
    174,266.40/260,816.40 = 153,271.20/x
  3. Step 3: Cross multiply
    174,266.40x = 260,816.40 × 153,271.20
  4. Step 4: Simplify right side
    174,266.40x = 39,975,642,607.68
  5. Step 5: Solve for x
    x = 39,975,642,607.68/174,266.40
  6. Step 6: Final answer
    x = 229,393.86

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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.