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Finding the Fourth Proportional to 162,002.40, 242,825.40 and 56,767.20

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Solution

The fourth proportional to 162,002.40, 242,825.40 and 56,767.20 is: 85,088.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,002.40 : 242,825.40 = 56,767.20 : x
  2. Step 2: Convert to fraction form
    162,002.40/242,825.40 = 56,767.20/x
  3. Step 3: Cross multiply
    162,002.40x = 242,825.40 × 56,767.20
  4. Step 4: Simplify right side
    162,002.40x = 13,784,518,046.88
  5. Step 5: Solve for x
    x = 13,784,518,046.88/162,002.40
  6. Step 6: Final answer
    x = 85,088.36

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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.