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Finding the Fourth Proportional to 162,435.60, 243,329.40 and 142,952.40

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Solution

The fourth proportional to 162,435.60, 243,329.40 and 142,952.40 is: 214,143.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,435.60 : 243,329.40 = 142,952.40 : x
  2. Step 2: Convert to fraction form
    162,435.60/243,329.40 = 142,952.40/x
  3. Step 3: Cross multiply
    162,435.60x = 243,329.40 × 142,952.40
  4. Step 4: Simplify right side
    162,435.60x = 34,784,521,720.56
  5. Step 5: Solve for x
    x = 34,784,521,720.56/162,435.60
  6. Step 6: Final answer
    x = 214,143.46

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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.