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Finding the Fourth Proportional to 201,875.84, 302,814.90 and 52,105.89

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Solution

The fourth proportional to 201,875.84, 302,814.90 and 52,105.89 is: 78,159.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,875.84 : 302,814.90 = 52,105.89 : x
  2. Step 2: Convert to fraction form
    201,875.84/302,814.90 = 52,105.89/x
  3. Step 3: Cross multiply
    201,875.84x = 302,814.90 × 52,105.89
  4. Step 4: Simplify right side
    201,875.84x = 15,778,438,355.69
  5. Step 5: Solve for x
    x = 15,778,438,355.69/201,875.84
  6. Step 6: Final answer
    x = 78,159.12

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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.