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Finding the Fourth Proportional to 343,196.41, 514,431.65 and 126,916.16

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Solution

The fourth proportional to 343,196.41, 514,431.65 and 126,916.16 is: 190,240.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,196.41 : 514,431.65 = 126,916.16 : x
  2. Step 2: Convert to fraction form
    343,196.41/514,431.65 = 126,916.16/x
  3. Step 3: Cross multiply
    343,196.41x = 514,431.65 × 126,916.16
  4. Step 4: Simplify right side
    343,196.41x = 65,289,686,393.73
  5. Step 5: Solve for x
    x = 65,289,686,393.73/343,196.41
  6. Step 6: Final answer
    x = 190,240.01

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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.