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Finding the Fourth Proportional to 249,882.96, 344,798.28 and 142,453.20

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Solution

The fourth proportional to 249,882.96, 344,798.28 and 142,453.20 is: 196,562.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,882.96 : 344,798.28 = 142,453.20 : x
  2. Step 2: Convert to fraction form
    249,882.96/344,798.28 = 142,453.20/x
  3. Step 3: Cross multiply
    249,882.96x = 344,798.28 × 142,453.20
  4. Step 4: Simplify right side
    249,882.96x = 49,117,618,340.50
  5. Step 5: Solve for x
    x = 49,117,618,340.50/249,882.96
  6. Step 6: Final answer
    x = 196,562.50

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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.