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Finding the Fourth Proportional to 187,564.32, 258,841.86 and 105,896.88

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Solution

The fourth proportional to 187,564.32, 258,841.86 and 105,896.88 is: 146,139.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,564.32 : 258,841.86 = 105,896.88 : x
  2. Step 2: Convert to fraction form
    187,564.32/258,841.86 = 105,896.88/x
  3. Step 3: Cross multiply
    187,564.32x = 258,841.86 × 105,896.88
  4. Step 4: Simplify right side
    187,564.32x = 27,410,545,387.40
  5. Step 5: Solve for x
    x = 27,410,545,387.40/187,564.32
  6. Step 6: Final answer
    x = 146,139.44

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1.5x scale

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.