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Finding the Fourth Proportional to 162,038, 243,044.76 and 56,864

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Solution

The fourth proportional to 162,038, 243,044.76 and 56,864 is: 85,291.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,038 : 243,044.76 = 56,864 : x
  2. Step 2: Convert to fraction form
    162,038/243,044.76 = 56,864/x
  3. Step 3: Cross multiply
    162,038x = 243,044.76 × 56,864
  4. Step 4: Simplify right side
    162,038x = 13,820,497,232.64
  5. Step 5: Solve for x
    x = 13,820,497,232.64/162,038
  6. Step 6: Final answer
    x = 85,291.70

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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.