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Finding the Fourth Proportional to 249,500.50, 344,313.99 and 142,070.96

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Solution

The fourth proportional to 249,500.50, 344,313.99 and 142,070.96 is: 196,059.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,500.50 : 344,313.99 = 142,070.96 : x
  2. Step 2: Convert to fraction form
    249,500.50/344,313.99 = 142,070.96/x
  3. Step 3: Cross multiply
    249,500.50x = 344,313.99 × 142,070.96
  4. Step 4: Simplify right side
    249,500.50x = 48,917,019,961.52
  5. Step 5: Solve for x
    x = 48,917,019,961.52/249,500.50
  6. Step 6: Final answer
    x = 196,059.81

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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.