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Finding the Fourth Proportional to 162,037.80, 243,056.70 and 152,188.20

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Solution

The fourth proportional to 162,037.80, 243,056.70 and 152,188.20 is: 228,282.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,037.80 : 243,056.70 = 152,188.20 : x
  2. Step 2: Convert to fraction form
    162,037.80/243,056.70 = 152,188.20/x
  3. Step 3: Cross multiply
    162,037.80x = 243,056.70 × 152,188.20
  4. Step 4: Simplify right side
    162,037.80x = 36,990,361,670.94
  5. Step 5: Solve for x
    x = 36,990,361,670.94/162,037.80
  6. Step 6: Final answer
    x = 228,282.30

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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.