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Finding the Fourth Proportional to 360,211.34, 540,317.01 and 138,543.50

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Solution

The fourth proportional to 360,211.34, 540,317.01 and 138,543.50 is: 207,815.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,211.34 : 540,317.01 = 138,543.50 : x
  2. Step 2: Convert to fraction form
    360,211.34/540,317.01 = 138,543.50/x
  3. Step 3: Cross multiply
    360,211.34x = 540,317.01 × 138,543.50
  4. Step 4: Simplify right side
    360,211.34x = 74,857,409,674.94
  5. Step 5: Solve for x
    x = 74,857,409,674.94/360,211.34
  6. Step 6: Final answer
    x = 207,815.25

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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.