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Finding the Fourth Proportional to 268,131.74, 370,024.81 and 147,275.82

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Solution

The fourth proportional to 268,131.74, 370,024.81 and 147,275.82 is: 203,242.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,131.74 : 370,024.81 = 147,275.82 : x
  2. Step 2: Convert to fraction form
    268,131.74/370,024.81 = 147,275.82/x
  3. Step 3: Cross multiply
    268,131.74x = 370,024.81 × 147,275.82
  4. Step 4: Simplify right side
    268,131.74x = 54,495,706,944.90
  5. Step 5: Solve for x
    x = 54,495,706,944.90/268,131.74
  6. Step 6: Final answer
    x = 203,242.29

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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.