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Finding the Fourth Proportional to 295,955.16, 443,998.48 and 138,097.48

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Solution

The fourth proportional to 295,955.16, 443,998.48 and 138,097.48 is: 207,176.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,955.16 : 443,998.48 = 138,097.48 : x
  2. Step 2: Convert to fraction form
    295,955.16/443,998.48 = 138,097.48/x
  3. Step 3: Cross multiply
    295,955.16x = 443,998.48 × 138,097.48
  4. Step 4: Simplify right side
    295,955.16x = 61,315,071,211.83
  5. Step 5: Solve for x
    x = 61,315,071,211.83/295,955.16
  6. Step 6: Final answer
    x = 207,176.90

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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.