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Finding the Fourth Proportional to 261,737.96, 392,802.33 and 194,425.41

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Solution

The fourth proportional to 261,737.96, 392,802.33 and 194,425.41 is: 291,783.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,737.96 : 392,802.33 = 194,425.41 : x
  2. Step 2: Convert to fraction form
    261,737.96/392,802.33 = 194,425.41/x
  3. Step 3: Cross multiply
    261,737.96x = 392,802.33 × 194,425.41
  4. Step 4: Simplify right side
    261,737.96x = 76,370,754,059.21
  5. Step 5: Solve for x
    x = 76,370,754,059.21/261,737.96
  6. Step 6: Final answer
    x = 291,783.26

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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.