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Finding the Fourth Proportional to 295,175.50, 407,373.56 and 180,521.22

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Solution

The fourth proportional to 295,175.50, 407,373.56 and 180,521.22 is: 249,138.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,175.50 : 407,373.56 = 180,521.22 : x
  2. Step 2: Convert to fraction form
    295,175.50/407,373.56 = 180,521.22/x
  3. Step 3: Cross multiply
    295,175.50x = 407,373.56 × 180,521.22
  4. Step 4: Simplify right side
    295,175.50x = 73,539,572,046.94
  5. Step 5: Solve for x
    x = 73,539,572,046.94/295,175.50
  6. Step 6: Final answer
    x = 249,138.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.