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Finding the Fourth Proportional to 282,426, 423,814.08 and 164,153.04

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Solution

The fourth proportional to 282,426, 423,814.08 and 164,153.04 is: 246,331.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,426 : 423,814.08 = 164,153.04 : x
  2. Step 2: Convert to fraction form
    282,426/423,814.08 = 164,153.04/x
  3. Step 3: Cross multiply
    282,426x = 423,814.08 × 164,153.04
  4. Step 4: Simplify right side
    282,426x = 69,570,369,626.80
  5. Step 5: Solve for x
    x = 69,570,369,626.80/282,426
  6. Step 6: Final answer
    x = 246,331.32

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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.