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Finding the Fourth Proportional to 180,347.26, 270,730.54 and 105,521.10

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Solution

The fourth proportional to 180,347.26, 270,730.54 and 105,521.10 is: 158,404.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,347.26 : 270,730.54 = 105,521.10 : x
  2. Step 2: Convert to fraction form
    180,347.26/270,730.54 = 105,521.10/x
  3. Step 3: Cross multiply
    180,347.26x = 270,730.54 × 105,521.10
  4. Step 4: Simplify right side
    180,347.26x = 28,567,784,384.39
  5. Step 5: Solve for x
    x = 28,567,784,384.39/180,347.26
  6. Step 6: Final answer
    x = 158,404.32

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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.