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Finding the Fourth Proportional to 295,810.56, 443,395.84 and 118,122.24

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Solution

The fourth proportional to 295,810.56, 443,395.84 and 118,122.24 is: 177,055.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,810.56 : 443,395.84 = 118,122.24 : x
  2. Step 2: Convert to fraction form
    295,810.56/443,395.84 = 118,122.24/x
  3. Step 3: Cross multiply
    295,810.56x = 443,395.84 × 118,122.24
  4. Step 4: Simplify right side
    295,810.56x = 52,374,909,827.48
  5. Step 5: Solve for x
    x = 52,374,909,827.48/295,810.56
  6. Step 6: Final answer
    x = 177,055.58

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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.