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Finding the Fourth Proportional to 124,783.71, 172,208.49 and 82,312.17

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Solution

The fourth proportional to 124,783.71, 172,208.49 and 82,312.17 is: 113,595.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,783.71 : 172,208.49 = 82,312.17 : x
  2. Step 2: Convert to fraction form
    124,783.71/172,208.49 = 82,312.17/x
  3. Step 3: Cross multiply
    124,783.71x = 172,208.49 × 82,312.17
  4. Step 4: Simplify right side
    124,783.71x = 14,174,854,504.32
  5. Step 5: Solve for x
    x = 14,174,854,504.32/124,783.71
  6. Step 6: Final answer
    x = 113,595.39

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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.