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Finding the Fourth Proportional to 153,676, 230,604.72 and 64,923.76

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Solution

The fourth proportional to 153,676, 230,604.72 and 64,923.76 is: 97,423.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,676 : 230,604.72 = 64,923.76 : x
  2. Step 2: Convert to fraction form
    153,676/230,604.72 = 64,923.76/x
  3. Step 3: Cross multiply
    153,676x = 230,604.72 × 64,923.76
  4. Step 4: Simplify right side
    153,676x = 14,971,725,496.15
  5. Step 5: Solve for x
    x = 14,971,725,496.15/153,676
  6. Step 6: Final answer
    x = 97,423.97

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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.