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Finding the Fourth Proportional to 162,389.80, 243,390.30 and 83,463.40

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Solution

The fourth proportional to 162,389.80, 243,390.30 and 83,463.40 is: 125,095.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,389.80 : 243,390.30 = 83,463.40 : x
  2. Step 2: Convert to fraction form
    162,389.80/243,390.30 = 83,463.40/x
  3. Step 3: Cross multiply
    162,389.80x = 243,390.30 × 83,463.40
  4. Step 4: Simplify right side
    162,389.80x = 20,314,181,965.02
  5. Step 5: Solve for x
    x = 20,314,181,965.02/162,389.80
  6. Step 6: Final answer
    x = 125,095.18

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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.