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Finding the Fourth Proportional to 360,004.86, 540,083.70 and 123,283.98

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Solution

The fourth proportional to 360,004.86, 540,083.70 and 123,283.98 is: 184,952.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,004.86 : 540,083.70 = 123,283.98 : x
  2. Step 2: Convert to fraction form
    360,004.86/540,083.70 = 123,283.98/x
  3. Step 3: Cross multiply
    360,004.86x = 540,083.70 × 123,283.98
  4. Step 4: Simplify right side
    360,004.86x = 66,583,668,069.13
  5. Step 5: Solve for x
    x = 66,583,668,069.13/360,004.86
  6. Step 6: Final answer
    x = 184,952.14

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Why These Related Problems?

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