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Finding the Fourth Proportional to 257,271.49, 385,907.37 and 107,430.13

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Solution

The fourth proportional to 257,271.49, 385,907.37 and 107,430.13 is: 161,145.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,271.49 : 385,907.37 = 107,430.13 : x
  2. Step 2: Convert to fraction form
    257,271.49/385,907.37 = 107,430.13/x
  3. Step 3: Cross multiply
    257,271.49x = 385,907.37 × 107,430.13
  4. Step 4: Simplify right side
    257,271.49x = 41,458,078,927.06
  5. Step 5: Solve for x
    x = 41,458,078,927.06/257,271.49
  6. Step 6: Final answer
    x = 161,145.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.