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Finding the Fourth Proportional to 272,798.25, 409,258.43 and 83,275.46

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Solution

The fourth proportional to 272,798.25, 409,258.43 and 83,275.46 is: 124,931.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,798.25 : 409,258.43 = 83,275.46 : x
  2. Step 2: Convert to fraction form
    272,798.25/409,258.43 = 83,275.46/x
  3. Step 3: Cross multiply
    272,798.25x = 409,258.43 × 83,275.46
  4. Step 4: Simplify right side
    272,798.25x = 34,081,181,554.46
  5. Step 5: Solve for x
    x = 34,081,181,554.46/272,798.25
  6. Step 6: Final answer
    x = 124,931.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.