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Finding the Fourth Proportional to 151,706.60, 227,559.90 and 46,511.90

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Solution

The fourth proportional to 151,706.60, 227,559.90 and 46,511.90 is: 69,767.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,706.60 : 227,559.90 = 46,511.90 : x
  2. Step 2: Convert to fraction form
    151,706.60/227,559.90 = 46,511.90/x
  3. Step 3: Cross multiply
    151,706.60x = 227,559.90 × 46,511.90
  4. Step 4: Simplify right side
    151,706.60x = 10,584,243,312.81
  5. Step 5: Solve for x
    x = 10,584,243,312.81/151,706.60
  6. Step 6: Final answer
    x = 69,767.85

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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.