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Finding the Fourth Proportional to 100,922, 139,272.36 and 56,210

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Solution

The fourth proportional to 100,922, 139,272.36 and 56,210 is: 77,569.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,922 : 139,272.36 = 56,210 : x
  2. Step 2: Convert to fraction form
    100,922/139,272.36 = 56,210/x
  3. Step 3: Cross multiply
    100,922x = 139,272.36 × 56,210
  4. Step 4: Simplify right side
    100,922x = 7,828,499,355.60
  5. Step 5: Solve for x
    x = 7,828,499,355.60/100,922
  6. Step 6: Final answer
    x = 77,569.80

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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.