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Finding the Fourth Proportional to 201,113.32, 301,436.70 and 161,714.92

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Solution

The fourth proportional to 201,113.32, 301,436.70 and 161,714.92 is: 242,384.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,113.32 : 301,436.70 = 161,714.92 : x
  2. Step 2: Convert to fraction form
    201,113.32/301,436.70 = 161,714.92/x
  3. Step 3: Cross multiply
    201,113.32x = 301,436.70 × 161,714.92
  4. Step 4: Simplify right side
    201,113.32x = 48,746,811,825.56
  5. Step 5: Solve for x
    x = 48,746,811,825.56/201,113.32
  6. Step 6: Final answer
    x = 242,384.80

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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.