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Finding the Fourth Proportional to 162,002.80, 243,077.10 and 73,210.60

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Solution

The fourth proportional to 162,002.80, 243,077.10 and 73,210.60 is: 109,848.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,002.80 : 243,077.10 = 73,210.60 : x
  2. Step 2: Convert to fraction form
    162,002.80/243,077.10 = 73,210.60/x
  3. Step 3: Cross multiply
    162,002.80x = 243,077.10 × 73,210.60
  4. Step 4: Simplify right side
    162,002.80x = 17,795,820,337.26
  5. Step 5: Solve for x
    x = 17,795,820,337.26/162,002.80
  6. Step 6: Final answer
    x = 109,848.84

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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.