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Finding the Fourth Proportional to 360,209.34, 540,314.01 and 138,541.50

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Solution

The fourth proportional to 360,209.34, 540,314.01 and 138,541.50 is: 207,812.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,209.34 : 540,314.01 = 138,541.50 : x
  2. Step 2: Convert to fraction form
    360,209.34/540,314.01 = 138,541.50/x
  3. Step 3: Cross multiply
    360,209.34x = 540,314.01 × 138,541.50
  4. Step 4: Simplify right side
    360,209.34x = 74,855,913,416.42
  5. Step 5: Solve for x
    x = 74,855,913,416.42/360,209.34
  6. Step 6: Final answer
    x = 207,812.25

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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.