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Finding the Fourth Proportional to 162,277.84, 243,439.80 and 49,967.40

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Solution

The fourth proportional to 162,277.84, 243,439.80 and 49,967.40 is: 74,958.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,277.84 : 243,439.80 = 49,967.40 : x
  2. Step 2: Convert to fraction form
    162,277.84/243,439.80 = 49,967.40/x
  3. Step 3: Cross multiply
    162,277.84x = 243,439.80 × 49,967.40
  4. Step 4: Simplify right side
    162,277.84x = 12,164,053,862.52
  5. Step 5: Solve for x
    x = 12,164,053,862.52/162,277.84
  6. Step 6: Final answer
    x = 74,958.19

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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.