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Finding the Fourth Proportional to 160,140.56, 240,244.86 and 47,829.56

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Solution

The fourth proportional to 160,140.56, 240,244.86 and 47,829.56 is: 71,754.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,140.56 : 240,244.86 = 47,829.56 : x
  2. Step 2: Convert to fraction form
    160,140.56/240,244.86 = 47,829.56/x
  3. Step 3: Cross multiply
    160,140.56x = 240,244.86 × 47,829.56
  4. Step 4: Simplify right side
    160,140.56x = 11,490,805,946.06
  5. Step 5: Solve for x
    x = 11,490,805,946.06/160,140.56
  6. Step 6: Final answer
    x = 71,754.50

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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.