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Finding the Fourth Proportional to 187,598, 258,909.96 and 107,007.08

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Solution

The fourth proportional to 187,598, 258,909.96 and 107,007.08 is: 147,683.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,598 : 258,909.96 = 107,007.08 : x
  2. Step 2: Convert to fraction form
    187,598/258,909.96 = 107,007.08/x
  3. Step 3: Cross multiply
    187,598x = 258,909.96 × 107,007.08
  4. Step 4: Simplify right side
    187,598x = 27,705,198,802.52
  5. Step 5: Solve for x
    x = 27,705,198,802.52/187,598
  6. Step 6: Final answer
    x = 147,683.87

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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.