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Finding the Fourth Proportional to 256,227.79, 353,567.37 and 148,776.79

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Solution

The fourth proportional to 256,227.79, 353,567.37 and 148,776.79 is: 205,296.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,227.79 : 353,567.37 = 148,776.79 : x
  2. Step 2: Convert to fraction form
    256,227.79/353,567.37 = 148,776.79/x
  3. Step 3: Cross multiply
    256,227.79x = 353,567.37 × 148,776.79
  4. Step 4: Simplify right side
    256,227.79x = 52,602,618,357.34
  5. Step 5: Solve for x
    x = 52,602,618,357.34/256,227.79
  6. Step 6: Final answer
    x = 205,296.30

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1.5x scale

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.