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Finding the Fourth Proportional to 224,714.40, 310,230.42 and 153,199.50

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Solution

The fourth proportional to 224,714.40, 310,230.42 and 153,199.50 is: 211,500.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,714.40 : 310,230.42 = 153,199.50 : x
  2. Step 2: Convert to fraction form
    224,714.40/310,230.42 = 153,199.50/x
  3. Step 3: Cross multiply
    224,714.40x = 310,230.42 × 153,199.50
  4. Step 4: Simplify right side
    224,714.40x = 47,527,145,228.79
  5. Step 5: Solve for x
    x = 47,527,145,228.79/224,714.40
  6. Step 6: Final answer
    x = 211,500.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.