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Finding the Fourth Proportional to 214,676.64, 322,073.28 and 152,740.80

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Solution

The fourth proportional to 214,676.64, 322,073.28 and 152,740.80 is: 229,152.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,676.64 : 322,073.28 = 152,740.80 : x
  2. Step 2: Convert to fraction form
    214,676.64/322,073.28 = 152,740.80/x
  3. Step 3: Cross multiply
    214,676.64x = 322,073.28 × 152,740.80
  4. Step 4: Simplify right side
    214,676.64x = 49,193,730,445.82
  5. Step 5: Solve for x
    x = 49,193,730,445.82/214,676.64
  6. Step 6: Final answer
    x = 229,152.69

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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.