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Finding the Fourth Proportional to 282,423, 423,809.58 and 164,150.04

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Solution

The fourth proportional to 282,423, 423,809.58 and 164,150.04 is: 246,326.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,423 : 423,809.58 = 164,150.04 : x
  2. Step 2: Convert to fraction form
    282,423/423,809.58 = 164,150.04/x
  3. Step 3: Cross multiply
    282,423x = 423,809.58 × 164,150.04
  4. Step 4: Simplify right side
    282,423x = 69,568,359,509.38
  5. Step 5: Solve for x
    x = 69,568,359,509.38/282,423
  6. Step 6: Final answer
    x = 246,326.82

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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.