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Finding the Fourth Proportional to 230,131.26, 317,580.13 and 128,157.93

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Solution

The fourth proportional to 230,131.26, 317,580.13 and 128,157.93 is: 176,857.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,131.26 : 317,580.13 = 128,157.93 : x
  2. Step 2: Convert to fraction form
    230,131.26/317,580.13 = 128,157.93/x
  3. Step 3: Cross multiply
    230,131.26x = 317,580.13 × 128,157.93
  4. Step 4: Simplify right side
    230,131.26x = 40,700,409,841.24
  5. Step 5: Solve for x
    x = 40,700,409,841.24/230,131.26
  6. Step 6: Final answer
    x = 176,857.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.