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Finding the Fourth Proportional to 119,252, 178,962.24 and 56,927.36

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Solution

The fourth proportional to 119,252, 178,962.24 and 56,927.36 is: 85,431.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,252 : 178,962.24 = 56,927.36 : x
  2. Step 2: Convert to fraction form
    119,252/178,962.24 = 56,927.36/x
  3. Step 3: Cross multiply
    119,252x = 178,962.24 × 56,927.36
  4. Step 4: Simplify right side
    119,252x = 10,187,847,862.89
  5. Step 5: Solve for x
    x = 10,187,847,862.89/119,252
  6. Step 6: Final answer
    x = 85,431.25

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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.