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Finding the Fourth Proportional to 156,806.46, 234,903.48 and 125,282.10

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Solution

The fourth proportional to 156,806.46, 234,903.48 and 125,282.10 is: 187,678.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,806.46 : 234,903.48 = 125,282.10 : x
  2. Step 2: Convert to fraction form
    156,806.46/234,903.48 = 125,282.10/x
  3. Step 3: Cross multiply
    156,806.46x = 234,903.48 × 125,282.10
  4. Step 4: Simplify right side
    156,806.46x = 29,429,201,271.71
  5. Step 5: Solve for x
    x = 29,429,201,271.71/156,806.46
  6. Step 6: Final answer
    x = 187,678.50

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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.