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Finding the Fourth Proportional to 181,915.16, 272,368.92 and 92,977.16

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Solution

The fourth proportional to 181,915.16, 272,368.92 and 92,977.16 is: 139,208.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,915.16 : 272,368.92 = 92,977.16 : x
  2. Step 2: Convert to fraction form
    181,915.16/272,368.92 = 92,977.16/x
  3. Step 3: Cross multiply
    181,915.16x = 272,368.92 × 92,977.16
  4. Step 4: Simplify right side
    181,915.16x = 25,324,088,653.87
  5. Step 5: Solve for x
    x = 25,324,088,653.87/181,915.16
  6. Step 6: Final answer
    x = 139,208.24

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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.