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Finding the Fourth Proportional to 187,665.92, 258,972 and 102,783.68

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Solution

The fourth proportional to 187,665.92, 258,972 and 102,783.68 is: 141,837.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,665.92 : 258,972 = 102,783.68 : x
  2. Step 2: Convert to fraction form
    187,665.92/258,972 = 102,783.68/x
  3. Step 3: Cross multiply
    187,665.92x = 258,972 × 102,783.68
  4. Step 4: Simplify right side
    187,665.92x = 26,618,095,176.96
  5. Step 5: Solve for x
    x = 26,618,095,176.96/187,665.92
  6. Step 6: Final answer
    x = 141,837.66

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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.