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Finding the Fourth Proportional to 295,129.01, 442,646.33 and 105,553.98

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Solution

The fourth proportional to 295,129.01, 442,646.33 and 105,553.98 is: 158,314.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,129.01 : 442,646.33 = 105,553.98 : x
  2. Step 2: Convert to fraction form
    295,129.01/442,646.33 = 105,553.98/x
  3. Step 3: Cross multiply
    295,129.01x = 442,646.33 × 105,553.98
  4. Step 4: Simplify right side
    295,129.01x = 46,723,081,336.12
  5. Step 5: Solve for x
    x = 46,723,081,336.12/295,129.01
  6. Step 6: Final answer
    x = 158,314.10

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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.