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Finding the Fourth Proportional to 203,429.70, 304,852.95 and 149,702.40

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Solution

The fourth proportional to 203,429.70, 304,852.95 and 149,702.40 is: 224,339.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,429.70 : 304,852.95 = 149,702.40 : x
  2. Step 2: Convert to fraction form
    203,429.70/304,852.95 = 149,702.40/x
  3. Step 3: Cross multiply
    203,429.70x = 304,852.95 × 149,702.40
  4. Step 4: Simplify right side
    203,429.70x = 45,637,218,262.08
  5. Step 5: Solve for x
    x = 45,637,218,262.08/203,429.70
  6. Step 6: Final answer
    x = 224,339.01

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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.