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Finding the Fourth Proportional to 187,533.36, 258,713.52 and 112,038

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Solution

The fourth proportional to 187,533.36, 258,713.52 and 112,038 is: 154,563.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,533.36 : 258,713.52 = 112,038 : x
  2. Step 2: Convert to fraction form
    187,533.36/258,713.52 = 112,038/x
  3. Step 3: Cross multiply
    187,533.36x = 258,713.52 × 112,038
  4. Step 4: Simplify right side
    187,533.36x = 28,985,745,353.76
  5. Step 5: Solve for x
    x = 28,985,745,353.76/187,533.36
  6. Step 6: Final answer
    x = 154,563.14

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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.