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Finding the Fourth Proportional to 243,000.60, 364,500.90 and 171,461.40

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Solution

The fourth proportional to 243,000.60, 364,500.90 and 171,461.40 is: 257,192.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,000.60 : 364,500.90 = 171,461.40 : x
  2. Step 2: Convert to fraction form
    243,000.60/364,500.90 = 171,461.40/x
  3. Step 3: Cross multiply
    243,000.60x = 364,500.90 × 171,461.40
  4. Step 4: Simplify right side
    243,000.60x = 62,497,834,615.26
  5. Step 5: Solve for x
    x = 62,497,834,615.26/243,000.60
  6. Step 6: Final answer
    x = 257,192.10

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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.