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Finding the Fourth Proportional to 256,209.74, 353,663.80 and 154,239.95

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Solution

The fourth proportional to 256,209.74, 353,663.80 and 154,239.95 is: 212,907.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,209.74 : 353,663.80 = 154,239.95 : x
  2. Step 2: Convert to fraction form
    256,209.74/353,663.80 = 154,239.95/x
  3. Step 3: Cross multiply
    256,209.74x = 353,663.80 × 154,239.95
  4. Step 4: Simplify right side
    256,209.74x = 54,549,084,674.89
  5. Step 5: Solve for x
    x = 54,549,084,674.89/256,209.74
  6. Step 6: Final answer
    x = 212,907.93

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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.