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Finding the Fourth Proportional to 149,855.60, 224,869.80 and 56,428.40

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Solution

The fourth proportional to 149,855.60, 224,869.80 and 56,428.40 is: 84,675.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,855.60 : 224,869.80 = 56,428.40 : x
  2. Step 2: Convert to fraction form
    149,855.60/224,869.80 = 56,428.40/x
  3. Step 3: Cross multiply
    149,855.60x = 224,869.80 × 56,428.40
  4. Step 4: Simplify right side
    149,855.60x = 12,689,043,022.32
  5. Step 5: Solve for x
    x = 12,689,043,022.32/149,855.60
  6. Step 6: Final answer
    x = 84,675.13

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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.