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Finding the Fourth Proportional to 106,893.60, 160,210.80 and 47,666.40

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Solution

The fourth proportional to 106,893.60, 160,210.80 and 47,666.40 is: 71,441.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,893.60 : 160,210.80 = 47,666.40 : x
  2. Step 2: Convert to fraction form
    106,893.60/160,210.80 = 47,666.40/x
  3. Step 3: Cross multiply
    106,893.60x = 160,210.80 × 47,666.40
  4. Step 4: Simplify right side
    106,893.60x = 7,636,672,077.12
  5. Step 5: Solve for x
    x = 7,636,672,077.12/106,893.60
  6. Step 6: Final answer
    x = 71,441.81

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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.