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Finding the Fourth Proportional to 288,153.96, 432,224.88 and 96,042.30

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Solution

The fourth proportional to 288,153.96, 432,224.88 and 96,042.30 is: 144,061.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,153.96 : 432,224.88 = 96,042.30 : x
  2. Step 2: Convert to fraction form
    288,153.96/432,224.88 = 96,042.30/x
  3. Step 3: Cross multiply
    288,153.96x = 432,224.88 × 96,042.30
  4. Step 4: Simplify right side
    288,153.96x = 41,511,871,592.42
  5. Step 5: Solve for x
    x = 41,511,871,592.42/288,153.96
  6. Step 6: Final answer
    x = 144,061.43

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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.