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Finding the Fourth Proportional to 101,415.49, 139,952.55 and 56,095.41

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Solution

The fourth proportional to 101,415.49, 139,952.55 and 56,095.41 is: 77,411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,415.49 : 139,952.55 = 56,095.41 : x
  2. Step 2: Convert to fraction form
    101,415.49/139,952.55 = 56,095.41/x
  3. Step 3: Cross multiply
    101,415.49x = 139,952.55 × 56,095.41
  4. Step 4: Simplify right side
    101,415.49x = 7,850,694,973.03
  5. Step 5: Solve for x
    x = 7,850,694,973.03/101,415.49
  6. Step 6: Final answer
    x = 77,411.20

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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.