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Finding the Fourth Proportional to 295,168.74, 442,930.50 and 105,614.16

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Solution

The fourth proportional to 295,168.74, 442,930.50 and 105,614.16 is: 158,484.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,168.74 : 442,930.50 = 105,614.16 : x
  2. Step 2: Convert to fraction form
    295,168.74/442,930.50 = 105,614.16/x
  3. Step 3: Cross multiply
    295,168.74x = 442,930.50 × 105,614.16
  4. Step 4: Simplify right side
    295,168.74x = 46,779,732,695.88
  5. Step 5: Solve for x
    x = 46,779,732,695.88/295,168.74
  6. Step 6: Final answer
    x = 158,484.71

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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.