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Finding the Fourth Proportional to 196,510.64, 294,737.20 and 96,644.04

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Solution

The fourth proportional to 196,510.64, 294,737.20 and 96,644.04 is: 144,951.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,510.64 : 294,737.20 = 96,644.04 : x
  2. Step 2: Convert to fraction form
    196,510.64/294,737.20 = 96,644.04/x
  3. Step 3: Cross multiply
    196,510.64x = 294,737.20 × 96,644.04
  4. Step 4: Simplify right side
    196,510.64x = 28,484,593,746.29
  5. Step 5: Solve for x
    x = 28,484,593,746.29/196,510.64
  6. Step 6: Final answer
    x = 144,951.92

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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.