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Finding the Fourth Proportional to 160,255, 240,385.74 and 49,447

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Solution

The fourth proportional to 160,255, 240,385.74 and 49,447 is: 74,171.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,255 : 240,385.74 = 49,447 : x
  2. Step 2: Convert to fraction form
    160,255/240,385.74 = 49,447/x
  3. Step 3: Cross multiply
    160,255x = 240,385.74 × 49,447
  4. Step 4: Simplify right side
    160,255x = 11,886,353,685.78
  5. Step 5: Solve for x
    x = 11,886,353,685.78/160,255
  6. Step 6: Final answer
    x = 74,171.50

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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.