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Finding the Fourth Proportional to 135,417.60, 203,145.30 and 56,513.74

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Solution

The fourth proportional to 135,417.60, 203,145.30 and 56,513.74 is: 84,778.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,417.60 : 203,145.30 = 56,513.74 : x
  2. Step 2: Convert to fraction form
    135,417.60/203,145.30 = 56,513.74/x
  3. Step 3: Cross multiply
    135,417.60x = 203,145.30 × 56,513.74
  4. Step 4: Simplify right side
    135,417.60x = 11,480,500,666.42
  5. Step 5: Solve for x
    x = 11,480,500,666.42/135,417.60
  6. Step 6: Final answer
    x = 84,778.50

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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.