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Finding the Fourth Proportional to 249,024, 343,654.14 and 135,849.12

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Solution

The fourth proportional to 249,024, 343,654.14 and 135,849.12 is: 187,472.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,024 : 343,654.14 = 135,849.12 : x
  2. Step 2: Convert to fraction form
    249,024/343,654.14 = 135,849.12/x
  3. Step 3: Cross multiply
    249,024x = 343,654.14 × 135,849.12
  4. Step 4: Simplify right side
    249,024x = 46,685,112,503.36
  5. Step 5: Solve for x
    x = 46,685,112,503.36/249,024
  6. Step 6: Final answer
    x = 187,472.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.