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Finding the Fourth Proportional to 256,864.32, 385,407.25 and 99,203.49

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Solution

The fourth proportional to 256,864.32, 385,407.25 and 99,203.49 is: 148,848.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,864.32 : 385,407.25 = 99,203.49 : x
  2. Step 2: Convert to fraction form
    256,864.32/385,407.25 = 99,203.49/x
  3. Step 3: Cross multiply
    256,864.32x = 385,407.25 × 99,203.49
  4. Step 4: Simplify right side
    256,864.32x = 38,233,744,023.29
  5. Step 5: Solve for x
    x = 38,233,744,023.29/256,864.32
  6. Step 6: Final answer
    x = 148,848.01

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1.5x scale

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.