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Finding the Fourth Proportional to 133,854.66, 200,741.04 and 45,084.36

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Solution

The fourth proportional to 133,854.66, 200,741.04 and 45,084.36 is: 67,612.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,854.66 : 200,741.04 = 45,084.36 : x
  2. Step 2: Convert to fraction form
    133,854.66/200,741.04 = 45,084.36/x
  3. Step 3: Cross multiply
    133,854.66x = 200,741.04 × 45,084.36
  4. Step 4: Simplify right side
    133,854.66x = 9,050,281,314.13
  5. Step 5: Solve for x
    x = 9,050,281,314.13/133,854.66
  6. Step 6: Final answer
    x = 67,612.75

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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.