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Finding the Fourth Proportional to 203,039.30, 304,558.95 and 97,868.90

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Solution

The fourth proportional to 203,039.30, 304,558.95 and 97,868.90 is: 146,803.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,039.30 : 304,558.95 = 97,868.90 : x
  2. Step 2: Convert to fraction form
    203,039.30/304,558.95 = 97,868.90/x
  3. Step 3: Cross multiply
    203,039.30x = 304,558.95 × 97,868.90
  4. Step 4: Simplify right side
    203,039.30x = 29,806,849,421.66
  5. Step 5: Solve for x
    x = 29,806,849,421.66/203,039.30
  6. Step 6: Final answer
    x = 146,803.35

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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.