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Finding the Fourth Proportional to 239,483.25, 359,224.88 and 97,405.83

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Solution

The fourth proportional to 239,483.25, 359,224.88 and 97,405.83 is: 146,108.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,483.25 : 359,224.88 = 97,405.83 : x
  2. Step 2: Convert to fraction form
    239,483.25/359,224.88 = 97,405.83/x
  3. Step 3: Cross multiply
    239,483.25x = 359,224.88 × 97,405.83
  4. Step 4: Simplify right side
    239,483.25x = 34,990,597,106.02
  5. Step 5: Solve for x
    x = 34,990,597,106.02/239,483.25
  6. Step 6: Final answer
    x = 146,108.75

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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.