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Finding the Fourth Proportional to 258,482.14, 356,681.82 and 149,567.65

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Solution

The fourth proportional to 258,482.14, 356,681.82 and 149,567.65 is: 206,389.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,482.14 : 356,681.82 = 149,567.65 : x
  2. Step 2: Convert to fraction form
    258,482.14/356,681.82 = 149,567.65/x
  3. Step 3: Cross multiply
    258,482.14x = 356,681.82 × 149,567.65
  4. Step 4: Simplify right side
    258,482.14x = 53,348,061,615.12
  5. Step 5: Solve for x
    x = 53,348,061,615.12/258,482.14
  6. Step 6: Final answer
    x = 206,389.74

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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.