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Finding the Fourth Proportional to 117,158.51, 175,737.70 and 28,412

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Solution

The fourth proportional to 117,158.51, 175,737.70 and 28,412 is: 42,617.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,158.51 : 175,737.70 = 28,412 : x
  2. Step 2: Convert to fraction form
    117,158.51/175,737.70 = 28,412/x
  3. Step 3: Cross multiply
    117,158.51x = 175,737.70 × 28,412
  4. Step 4: Simplify right side
    117,158.51x = 4,993,059,532.40
  5. Step 5: Solve for x
    x = 4,993,059,532.40/117,158.51
  6. Step 6: Final answer
    x = 42,617.98

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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.