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Finding the Fourth Proportional to 282,678.04, 423,851 and 114,203.71

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Solution

The fourth proportional to 282,678.04, 423,851 and 114,203.71 is: 171,238.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,678.04 : 423,851 = 114,203.71 : x
  2. Step 2: Convert to fraction form
    282,678.04/423,851 = 114,203.71/x
  3. Step 3: Cross multiply
    282,678.04x = 423,851 × 114,203.71
  4. Step 4: Simplify right side
    282,678.04x = 48,405,354,567.96
  5. Step 5: Solve for x
    x = 48,405,354,567.96/282,678.04
  6. Step 6: Final answer
    x = 171,238.47

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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.