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Finding the Fourth Proportional to 103,384.42, 155,074.83 and 56,611.78

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Solution

The fourth proportional to 103,384.42, 155,074.83 and 56,611.78 is: 84,916.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,384.42 : 155,074.83 = 56,611.78 : x
  2. Step 2: Convert to fraction form
    103,384.42/155,074.83 = 56,611.78/x
  3. Step 3: Cross multiply
    103,384.42x = 155,074.83 × 56,611.78
  4. Step 4: Simplify right side
    103,384.42x = 8,779,062,159.50
  5. Step 5: Solve for x
    x = 8,779,062,159.50/103,384.42
  6. Step 6: Final answer
    x = 84,916.68

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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.