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Finding the Fourth Proportional to 461,956.59, 693,000.48 and 142,134.93

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Solution

The fourth proportional to 461,956.59, 693,000.48 and 142,134.93 is: 213,222.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,956.59 : 693,000.48 = 142,134.93 : x
  2. Step 2: Convert to fraction form
    461,956.59/693,000.48 = 142,134.93/x
  3. Step 3: Cross multiply
    461,956.59x = 693,000.48 × 142,134.93
  4. Step 4: Simplify right side
    461,956.59x = 98,499,574,714.77
  5. Step 5: Solve for x
    x = 98,499,574,714.77/461,956.59
  6. Step 6: Final answer
    x = 213,222.58

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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.