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Finding the Fourth Proportional to 231,592.60, 346,514.10 and 152,860.60

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Solution

The fourth proportional to 231,592.60, 346,514.10 and 152,860.60 is: 228,713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,592.60 : 346,514.10 = 152,860.60 : x
  2. Step 2: Convert to fraction form
    231,592.60/346,514.10 = 152,860.60/x
  3. Step 3: Cross multiply
    231,592.60x = 346,514.10 × 152,860.60
  4. Step 4: Simplify right side
    231,592.60x = 52,968,353,234.46
  5. Step 5: Solve for x
    x = 52,968,353,234.46/231,592.60
  6. Step 6: Final answer
    x = 228,713.50

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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.