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Finding the Fourth Proportional to 376,534.86, 564,802.26 and 96,052.10

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Solution

The fourth proportional to 376,534.86, 564,802.26 and 96,052.10 is: 144,078.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,534.86 : 564,802.26 = 96,052.10 : x
  2. Step 2: Convert to fraction form
    376,534.86/564,802.26 = 96,052.10/x
  3. Step 3: Cross multiply
    376,534.86x = 564,802.26 × 96,052.10
  4. Step 4: Simplify right side
    376,534.86x = 54,250,443,157.75
  5. Step 5: Solve for x
    x = 54,250,443,157.75/376,534.86
  6. Step 6: Final answer
    x = 144,078.14

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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.