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Finding the Fourth Proportional to 334,051.80, 501,029.10 and 97,369.80

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Solution

The fourth proportional to 334,051.80, 501,029.10 and 97,369.80 is: 146,040.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,051.80 : 501,029.10 = 97,369.80 : x
  2. Step 2: Convert to fraction form
    334,051.80/501,029.10 = 97,369.80/x
  3. Step 3: Cross multiply
    334,051.80x = 501,029.10 × 97,369.80
  4. Step 4: Simplify right side
    334,051.80x = 48,785,103,261.18
  5. Step 5: Solve for x
    x = 48,785,103,261.18/334,051.80
  6. Step 6: Final answer
    x = 146,040.53

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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.