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Finding the Fourth Proportional to 151,887.42, 227,830.29 and 61,929.78

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Solution

The fourth proportional to 151,887.42, 227,830.29 and 61,929.78 is: 92,894.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,887.42 : 227,830.29 = 61,929.78 : x
  2. Step 2: Convert to fraction form
    151,887.42/227,830.29 = 61,929.78/x
  3. Step 3: Cross multiply
    151,887.42x = 227,830.29 × 61,929.78
  4. Step 4: Simplify right side
    151,887.42x = 14,109,478,597.88
  5. Step 5: Solve for x
    x = 14,109,478,597.88/151,887.42
  6. Step 6: Final answer
    x = 92,894.32

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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.