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Finding the Fourth Proportional to 524,066.09, 786,114.45 and 144,989.87

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Solution

The fourth proportional to 524,066.09, 786,114.45 and 144,989.87 is: 217,489.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,066.09 : 786,114.45 = 144,989.87 : x
  2. Step 2: Convert to fraction form
    524,066.09/786,114.45 = 144,989.87/x
  3. Step 3: Cross multiply
    524,066.09x = 786,114.45 × 144,989.87
  4. Step 4: Simplify right side
    524,066.09x = 113,978,627,980.05
  5. Step 5: Solve for x
    x = 113,978,627,980.05/524,066.09
  6. Step 6: Final answer
    x = 217,489.04

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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.