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Finding the Fourth Proportional to 288,096.04, 432,144.05 and 77,733.98

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Solution

The fourth proportional to 288,096.04, 432,144.05 and 77,733.98 is: 116,600.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,096.04 : 432,144.05 = 77,733.98 : x
  2. Step 2: Convert to fraction form
    288,096.04/432,144.05 = 77,733.98/x
  3. Step 3: Cross multiply
    288,096.04x = 432,144.05 × 77,733.98
  4. Step 4: Simplify right side
    288,096.04x = 33,592,274,973.43
  5. Step 5: Solve for x
    x = 33,592,274,973.43/288,096.04
  6. Step 6: Final answer
    x = 116,600.96

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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.