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Finding the Fourth Proportional to 162,646.40, 243,922.78 and 56,026.05

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Solution

The fourth proportional to 162,646.40, 243,922.78 and 56,026.05 is: 84,022.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,646.40 : 243,922.78 = 56,026.05 : x
  2. Step 2: Convert to fraction form
    162,646.40/243,922.78 = 56,026.05/x
  3. Step 3: Cross multiply
    162,646.40x = 243,922.78 × 56,026.05
  4. Step 4: Simplify right side
    162,646.40x = 13,666,029,868.42
  5. Step 5: Solve for x
    x = 13,666,029,868.42/162,646.40
  6. Step 6: Final answer
    x = 84,022.95

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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.