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Finding the Fourth Proportional to 357,094.44, 535,673.12 and 132,457.28

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Solution

The fourth proportional to 357,094.44, 535,673.12 and 132,457.28 is: 198,697.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,094.44 : 535,673.12 = 132,457.28 : x
  2. Step 2: Convert to fraction form
    357,094.44/535,673.12 = 132,457.28/x
  3. Step 3: Cross multiply
    357,094.44x = 535,673.12 × 132,457.28
  4. Step 4: Simplify right side
    357,094.44x = 70,953,801,103.66
  5. Step 5: Solve for x
    x = 70,953,801,103.66/357,094.44
  6. Step 6: Final answer
    x = 198,697.58

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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.