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Finding the Fourth Proportional to 256,019.33, 353,192.30 and 153,984.85

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Solution

The fourth proportional to 256,019.33, 353,192.30 and 153,984.85 is: 212,430.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,019.33 : 353,192.30 = 153,984.85 : x
  2. Step 2: Convert to fraction form
    256,019.33/353,192.30 = 153,984.85/x
  3. Step 3: Cross multiply
    256,019.33x = 353,192.30 × 153,984.85
  4. Step 4: Simplify right side
    256,019.33x = 54,386,262,261.19
  5. Step 5: Solve for x
    x = 54,386,262,261.19/256,019.33
  6. Step 6: Final answer
    x = 212,430.29

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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.