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Finding the Fourth Proportional to 160,264.78, 240,409.82 and 53,649.34

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Solution

The fourth proportional to 160,264.78, 240,409.82 and 53,649.34 is: 80,478.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,264.78 : 240,409.82 = 53,649.34 : x
  2. Step 2: Convert to fraction form
    160,264.78/240,409.82 = 53,649.34/x
  3. Step 3: Cross multiply
    160,264.78x = 240,409.82 × 53,649.34
  4. Step 4: Simplify right side
    160,264.78x = 12,897,828,172.52
  5. Step 5: Solve for x
    x = 12,897,828,172.52/160,264.78
  6. Step 6: Final answer
    x = 80,478.24

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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.