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Finding the Fourth Proportional to 133,541.40, 200,312.10 and 120,419.40

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Solution

The fourth proportional to 133,541.40, 200,312.10 and 120,419.40 is: 180,629.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,541.40 : 200,312.10 = 120,419.40 : x
  2. Step 2: Convert to fraction form
    133,541.40/200,312.10 = 120,419.40/x
  3. Step 3: Cross multiply
    133,541.40x = 200,312.10 × 120,419.40
  4. Step 4: Simplify right side
    133,541.40x = 24,121,462,894.74
  5. Step 5: Solve for x
    x = 24,121,462,894.74/133,541.40
  6. Step 6: Final answer
    x = 180,629.10

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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.