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Finding the Fourth Proportional to 282,054, 389,246.04 and 162,822

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Solution

The fourth proportional to 282,054, 389,246.04 and 162,822 is: 224,701.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,054 : 389,246.04 = 162,822 : x
  2. Step 2: Convert to fraction form
    282,054/389,246.04 = 162,822/x
  3. Step 3: Cross multiply
    282,054x = 389,246.04 × 162,822
  4. Step 4: Simplify right side
    282,054x = 63,377,818,724.88
  5. Step 5: Solve for x
    x = 63,377,818,724.88/282,054
  6. Step 6: Final answer
    x = 224,701.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.