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Finding the Fourth Proportional to 156,411.84, 234,594 and 51,228.48

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Solution

The fourth proportional to 156,411.84, 234,594 and 51,228.48 is: 76,834.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,411.84 : 234,594 = 51,228.48 : x
  2. Step 2: Convert to fraction form
    156,411.84/234,594 = 51,228.48/x
  3. Step 3: Cross multiply
    156,411.84x = 234,594 × 51,228.48
  4. Step 4: Simplify right side
    156,411.84x = 12,017,894,037.12
  5. Step 5: Solve for x
    x = 12,017,894,037.12/156,411.84
  6. Step 6: Final answer
    x = 76,834.94

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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.