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Finding the Fourth Proportional to 135,211.64, 202,821.60 and 46,463.88

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Solution

The fourth proportional to 135,211.64, 202,821.60 and 46,463.88 is: 69,697.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,211.64 : 202,821.60 = 46,463.88 : x
  2. Step 2: Convert to fraction form
    135,211.64/202,821.60 = 46,463.88/x
  3. Step 3: Cross multiply
    135,211.64x = 202,821.60 × 46,463.88
  4. Step 4: Simplify right side
    135,211.64x = 9,423,878,483.81
  5. Step 5: Solve for x
    x = 9,423,878,483.81/135,211.64
  6. Step 6: Final answer
    x = 69,697.24

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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.