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Finding the Fourth Proportional to 395,106.01, 592,474.23 and 142,353.20

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Solution

The fourth proportional to 395,106.01, 592,474.23 and 142,353.20 is: 213,463.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,106.01 : 592,474.23 = 142,353.20 : x
  2. Step 2: Convert to fraction form
    395,106.01/592,474.23 = 142,353.20/x
  3. Step 3: Cross multiply
    395,106.01x = 592,474.23 × 142,353.20
  4. Step 4: Simplify right side
    395,106.01x = 84,340,604,039.22
  5. Step 5: Solve for x
    x = 84,340,604,039.22/395,106.01
  6. Step 6: Final answer
    x = 213,463.23

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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.