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Finding the Fourth Proportional to 295,101.80, 442,595.10 and 98,109.80

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Solution

The fourth proportional to 295,101.80, 442,595.10 and 98,109.80 is: 147,145.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,101.80 : 442,595.10 = 98,109.80 : x
  2. Step 2: Convert to fraction form
    295,101.80/442,595.10 = 98,109.80/x
  3. Step 3: Cross multiply
    295,101.80x = 442,595.10 × 98,109.80
  4. Step 4: Simplify right side
    295,101.80x = 43,422,916,741.98
  5. Step 5: Solve for x
    x = 43,422,916,741.98/295,101.80
  6. Step 6: Final answer
    x = 147,145.55

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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.