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Finding the Fourth Proportional to 202,989.30, 304,483.95 and 97,818.90

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Solution

The fourth proportional to 202,989.30, 304,483.95 and 97,818.90 is: 146,728.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,989.30 : 304,483.95 = 97,818.90 : x
  2. Step 2: Convert to fraction form
    202,989.30/304,483.95 = 97,818.90/x
  3. Step 3: Cross multiply
    202,989.30x = 304,483.95 × 97,818.90
  4. Step 4: Simplify right side
    202,989.30x = 29,784,285,056.66
  5. Step 5: Solve for x
    x = 29,784,285,056.66/202,989.30
  6. Step 6: Final answer
    x = 146,728.35

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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.