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Finding the Fourth Proportional to 106,220.80, 159,294.48 and 47,097.82

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Solution

The fourth proportional to 106,220.80, 159,294.48 and 47,097.82 is: 70,630.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,220.80 : 159,294.48 = 47,097.82 : x
  2. Step 2: Convert to fraction form
    106,220.80/159,294.48 = 47,097.82/x
  3. Step 3: Cross multiply
    106,220.80x = 159,294.48 × 47,097.82
  4. Step 4: Simplify right side
    106,220.80x = 7,502,422,746.03
  5. Step 5: Solve for x
    x = 7,502,422,746.03/106,220.80
  6. Step 6: Final answer
    x = 70,630.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.