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Finding the Fourth Proportional to 149,568.68, 205,984.86 and 146,302.76

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Solution

The fourth proportional to 149,568.68, 205,984.86 and 146,302.76 is: 201,487.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,568.68 : 205,984.86 = 146,302.76 : x
  2. Step 2: Convert to fraction form
    149,568.68/205,984.86 = 146,302.76/x
  3. Step 3: Cross multiply
    149,568.68x = 205,984.86 × 146,302.76
  4. Step 4: Simplify right side
    149,568.68x = 30,136,152,506.29
  5. Step 5: Solve for x
    x = 30,136,152,506.29/149,568.68
  6. Step 6: Final answer
    x = 201,487.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.