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Finding the Fourth Proportional to 249,362.50, 344,233.50 and 158,842.54

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Solution

The fourth proportional to 249,362.50, 344,233.50 and 158,842.54 is: 219,274.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,362.50 : 344,233.50 = 158,842.54 : x
  2. Step 2: Convert to fraction form
    249,362.50/344,233.50 = 158,842.54/x
  3. Step 3: Cross multiply
    249,362.50x = 344,233.50 × 158,842.54
  4. Step 4: Simplify right side
    249,362.50x = 54,678,923,493.09
  5. Step 5: Solve for x
    x = 54,678,923,493.09/249,362.50
  6. Step 6: Final answer
    x = 219,274.84

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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.