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Finding the Fourth Proportional to 100,970.80, 139,339.14 and 55,648.82

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Solution

The fourth proportional to 100,970.80, 139,339.14 and 55,648.82 is: 76,795.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,970.80 : 139,339.14 = 55,648.82 : x
  2. Step 2: Convert to fraction form
    100,970.80/139,339.14 = 55,648.82/x
  3. Step 3: Cross multiply
    100,970.80x = 139,339.14 × 55,648.82
  4. Step 4: Simplify right side
    100,970.80x = 7,754,058,860.48
  5. Step 5: Solve for x
    x = 7,754,058,860.48/100,970.80
  6. Step 6: Final answer
    x = 76,795.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.