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Finding the Fourth Proportional to 135,291.88, 202,931.74 and 46,545.85

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Solution

The fourth proportional to 135,291.88, 202,931.74 and 46,545.85 is: 69,816.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,291.88 : 202,931.74 = 46,545.85 : x
  2. Step 2: Convert to fraction form
    135,291.88/202,931.74 = 46,545.85/x
  3. Step 3: Cross multiply
    135,291.88x = 202,931.74 × 46,545.85
  4. Step 4: Simplify right side
    135,291.88x = 9,445,630,330.28
  5. Step 5: Solve for x
    x = 9,445,630,330.28/135,291.88
  6. Step 6: Final answer
    x = 69,816.68

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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.