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Finding the Fourth Proportional to 187,596, 258,907.20 and 107,005.08

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Solution

The fourth proportional to 187,596, 258,907.20 and 107,005.08 is: 147,681.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,596 : 258,907.20 = 107,005.08 : x
  2. Step 2: Convert to fraction form
    187,596/258,907.20 = 107,005.08/x
  3. Step 3: Cross multiply
    187,596x = 258,907.20 × 107,005.08
  4. Step 4: Simplify right side
    187,596x = 27,704,385,648.58
  5. Step 5: Solve for x
    x = 27,704,385,648.58/187,596
  6. Step 6: Final answer
    x = 147,681.11

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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.