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Finding the Fourth Proportional to 261,806.95, 392,714.37 and 99,709.97

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Solution

The fourth proportional to 261,806.95, 392,714.37 and 99,709.97 is: 149,566.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,806.95 : 392,714.37 = 99,709.97 : x
  2. Step 2: Convert to fraction form
    261,806.95/392,714.37 = 99,709.97/x
  3. Step 3: Cross multiply
    261,806.95x = 392,714.37 × 99,709.97
  4. Step 4: Simplify right side
    261,806.95x = 39,157,538,051.27
  5. Step 5: Solve for x
    x = 39,157,538,051.27/261,806.95
  6. Step 6: Final answer
    x = 149,566.46

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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.