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Finding the Fourth Proportional to 144,708.42, 215,779.43 and 135,056.46

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Solution

The fourth proportional to 144,708.42, 215,779.43 and 135,056.46 is: 201,387.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,708.42 : 215,779.43 = 135,056.46 : x
  2. Step 2: Convert to fraction form
    144,708.42/215,779.43 = 135,056.46/x
  3. Step 3: Cross multiply
    144,708.42x = 215,779.43 × 135,056.46
  4. Step 4: Simplify right side
    144,708.42x = 29,142,405,281.34
  5. Step 5: Solve for x
    x = 29,142,405,281.34/144,708.42
  6. Step 6: Final answer
    x = 201,387.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.