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Finding the Fourth Proportional to 293,148.80, 439,723.20 and 153,180.80

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Solution

The fourth proportional to 293,148.80, 439,723.20 and 153,180.80 is: 229,771.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,148.80 : 439,723.20 = 153,180.80 : x
  2. Step 2: Convert to fraction form
    293,148.80/439,723.20 = 153,180.80/x
  3. Step 3: Cross multiply
    293,148.80x = 439,723.20 × 153,180.80
  4. Step 4: Simplify right side
    293,148.80x = 67,357,151,554.56
  5. Step 5: Solve for x
    x = 67,357,151,554.56/293,148.80
  6. Step 6: Final answer
    x = 229,771.20

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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.