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Finding the Fourth Proportional to 295,014.88, 442,430.70 and 105,448.96

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Solution

The fourth proportional to 295,014.88, 442,430.70 and 105,448.96 is: 158,140.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,014.88 : 442,430.70 = 105,448.96 : x
  2. Step 2: Convert to fraction form
    295,014.88/442,430.70 = 105,448.96/x
  3. Step 3: Cross multiply
    295,014.88x = 442,430.70 × 105,448.96
  4. Step 4: Simplify right side
    295,014.88x = 46,653,857,187.07
  5. Step 5: Solve for x
    x = 46,653,857,187.07/295,014.88
  6. Step 6: Final answer
    x = 158,140.69

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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.