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Finding the Fourth Proportional to 114,681.86, 172,014.29 and 48,119.30

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Solution

The fourth proportional to 114,681.86, 172,014.29 and 48,119.30 is: 72,175.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,681.86 : 172,014.29 = 48,119.30 : x
  2. Step 2: Convert to fraction form
    114,681.86/172,014.29 = 48,119.30/x
  3. Step 3: Cross multiply
    114,681.86x = 172,014.29 × 48,119.30
  4. Step 4: Simplify right side
    114,681.86x = 8,277,206,984.20
  5. Step 5: Solve for x
    x = 8,277,206,984.20/114,681.86
  6. Step 6: Final answer
    x = 72,175.38

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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.