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Finding the Fourth Proportional to 260,541.84, 390,859.56 and 92,159.76

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Solution

The fourth proportional to 260,541.84, 390,859.56 and 92,159.76 is: 138,256.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,541.84 : 390,859.56 = 92,159.76 : x
  2. Step 2: Convert to fraction form
    260,541.84/390,859.56 = 92,159.76/x
  3. Step 3: Cross multiply
    260,541.84x = 390,859.56 × 92,159.76
  4. Step 4: Simplify right side
    260,541.84x = 36,021,523,243.31
  5. Step 5: Solve for x
    x = 36,021,523,243.31/260,541.84
  6. Step 6: Final answer
    x = 138,256.19

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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.