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Finding the Fourth Proportional to 160,648.46, 240,970.95 and 65,857.51

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Solution

The fourth proportional to 160,648.46, 240,970.95 and 65,857.51 is: 98,785.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,648.46 : 240,970.95 = 65,857.51 : x
  2. Step 2: Convert to fraction form
    160,648.46/240,970.95 = 65,857.51/x
  3. Step 3: Cross multiply
    160,648.46x = 240,970.95 × 65,857.51
  4. Step 4: Simplify right side
    160,648.46x = 15,869,745,695.09
  5. Step 5: Solve for x
    x = 15,869,745,695.09/160,648.46
  6. Step 6: Final answer
    x = 98,785.54

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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.