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Finding the Fourth Proportional to 114,740.26, 172,051 and 51,505.93

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Solution

The fourth proportional to 114,740.26, 172,051 and 51,505.93 is: 77,232.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,740.26 : 172,051 = 51,505.93 : x
  2. Step 2: Convert to fraction form
    114,740.26/172,051 = 51,505.93/x
  3. Step 3: Cross multiply
    114,740.26x = 172,051 × 51,505.93
  4. Step 4: Simplify right side
    114,740.26x = 8,861,646,762.43
  5. Step 5: Solve for x
    x = 8,861,646,762.43/114,740.26
  6. Step 6: Final answer
    x = 77,232.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.