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Finding the Fourth Proportional to 201,548.96, 302,289.44 and 57,444.64

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Solution

The fourth proportional to 201,548.96, 302,289.44 and 57,444.64 is: 86,157.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,548.96 : 302,289.44 = 57,444.64 : x
  2. Step 2: Convert to fraction form
    201,548.96/302,289.44 = 57,444.64/x
  3. Step 3: Cross multiply
    201,548.96x = 302,289.44 × 57,444.64
  4. Step 4: Simplify right side
    201,548.96x = 17,364,908,056.60
  5. Step 5: Solve for x
    x = 17,364,908,056.60/201,548.96
  6. Step 6: Final answer
    x = 86,157.27

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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.