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Finding the Fourth Proportional to 213,203.34, 319,822.02 and 124,465.82

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Solution

The fourth proportional to 213,203.34, 319,822.02 and 124,465.82 is: 186,708.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,203.34 : 319,822.02 = 124,465.82 : x
  2. Step 2: Convert to fraction form
    213,203.34/319,822.02 = 124,465.82/x
  3. Step 3: Cross multiply
    213,203.34x = 319,822.02 × 124,465.82
  4. Step 4: Simplify right side
    213,203.34x = 39,806,908,374.25
  5. Step 5: Solve for x
    x = 39,806,908,374.25/213,203.34
  6. Step 6: Final answer
    x = 186,708.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.