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Finding the Fourth Proportional to 187,594, 258,904.44 and 107,003.08

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Solution

The fourth proportional to 187,594, 258,904.44 and 107,003.08 is: 147,678.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,594 : 258,904.44 = 107,003.08 : x
  2. Step 2: Convert to fraction form
    187,594/258,904.44 = 107,003.08/x
  3. Step 3: Cross multiply
    187,594x = 258,904.44 × 107,003.08
  4. Step 4: Simplify right side
    187,594x = 27,703,572,505.68
  5. Step 5: Solve for x
    x = 27,703,572,505.68/187,594
  6. Step 6: Final answer
    x = 147,678.35

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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.