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Finding the Fourth Proportional to 201,875.59, 302,814.52 and 52,105.64

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Solution

The fourth proportional to 201,875.59, 302,814.52 and 52,105.64 is: 78,158.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,875.59 : 302,814.52 = 52,105.64 : x
  2. Step 2: Convert to fraction form
    201,875.59/302,814.52 = 52,105.64/x
  3. Step 3: Cross multiply
    201,875.59x = 302,814.52 × 52,105.64
  4. Step 4: Simplify right side
    201,875.59x = 15,778,343,014.65
  5. Step 5: Solve for x
    x = 15,778,343,014.65/201,875.59
  6. Step 6: Final answer
    x = 78,158.75

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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.