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Finding the Fourth Proportional to 229,703.94, 317,009.14 and 137,826.66

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Solution

The fourth proportional to 229,703.94, 317,009.14 and 137,826.66 is: 190,211.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,703.94 : 317,009.14 = 137,826.66 : x
  2. Step 2: Convert to fraction form
    229,703.94/317,009.14 = 137,826.66/x
  3. Step 3: Cross multiply
    229,703.94x = 317,009.14 × 137,826.66
  4. Step 4: Simplify right side
    229,703.94x = 43,692,310,955.67
  5. Step 5: Solve for x
    x = 43,692,310,955.67/229,703.94
  6. Step 6: Final answer
    x = 190,211.41

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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.