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Finding the Fourth Proportional to 149,871.60, 224,893.80 and 56,444.40

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Solution

The fourth proportional to 149,871.60, 224,893.80 and 56,444.40 is: 84,699.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,871.60 : 224,893.80 = 56,444.40 : x
  2. Step 2: Convert to fraction form
    149,871.60/224,893.80 = 56,444.40/x
  3. Step 3: Cross multiply
    149,871.60x = 224,893.80 × 56,444.40
  4. Step 4: Simplify right side
    149,871.60x = 12,693,995,604.72
  5. Step 5: Solve for x
    x = 12,693,995,604.72/149,871.60
  6. Step 6: Final answer
    x = 84,699.14

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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.