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Finding the Fourth Proportional to 101,646.47, 140,270.04 and 56,324.07

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Solution

The fourth proportional to 101,646.47, 140,270.04 and 56,324.07 is: 77,726.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,646.47 : 140,270.04 = 56,324.07 : x
  2. Step 2: Convert to fraction form
    101,646.47/140,270.04 = 56,324.07/x
  3. Step 3: Cross multiply
    101,646.47x = 140,270.04 × 56,324.07
  4. Step 4: Simplify right side
    101,646.47x = 7,900,579,551.86
  5. Step 5: Solve for x
    x = 7,900,579,551.86/101,646.47
  6. Step 6: Final answer
    x = 77,726.06

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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.