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Finding the Fourth Proportional to 137,868.65, 190,254.58 and 76,614.63

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Solution

The fourth proportional to 137,868.65, 190,254.58 and 76,614.63 is: 105,725.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,868.65 : 190,254.58 = 76,614.63 : x
  2. Step 2: Convert to fraction form
    137,868.65/190,254.58 = 76,614.63/x
  3. Step 3: Cross multiply
    137,868.65x = 190,254.58 × 76,614.63
  4. Step 4: Simplify right side
    137,868.65x = 14,576,284,252.51
  5. Step 5: Solve for x
    x = 14,576,284,252.51/137,868.65
  6. Step 6: Final answer
    x = 105,725.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.