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Finding the Fourth Proportional to 243,461.40, 365,019.30 and 93,643.80

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Solution

The fourth proportional to 243,461.40, 365,019.30 and 93,643.80 is: 140,399.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,461.40 : 365,019.30 = 93,643.80 : x
  2. Step 2: Convert to fraction form
    243,461.40/365,019.30 = 93,643.80/x
  3. Step 3: Cross multiply
    243,461.40x = 365,019.30 × 93,643.80
  4. Step 4: Simplify right side
    243,461.40x = 34,181,794,325.34
  5. Step 5: Solve for x
    x = 34,181,794,325.34/243,461.40
  6. Step 6: Final answer
    x = 140,399.24

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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.