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Finding the Fourth Proportional to 114,938.10, 172,079.10 and 111,657.60

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Solution

The fourth proportional to 114,938.10, 172,079.10 and 111,657.60 is: 167,167.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,938.10 : 172,079.10 = 111,657.60 : x
  2. Step 2: Convert to fraction form
    114,938.10/172,079.10 = 111,657.60/x
  3. Step 3: Cross multiply
    114,938.10x = 172,079.10 × 111,657.60
  4. Step 4: Simplify right side
    114,938.10x = 19,213,939,316.16
  5. Step 5: Solve for x
    x = 19,213,939,316.16/114,938.10
  6. Step 6: Final answer
    x = 167,167.71

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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.