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Finding the Fourth Proportional to 295,103.80, 442,598.10 and 98,111.80

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Solution

The fourth proportional to 295,103.80, 442,598.10 and 98,111.80 is: 147,148.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,103.80 : 442,598.10 = 98,111.80 : x
  2. Step 2: Convert to fraction form
    295,103.80/442,598.10 = 98,111.80/x
  3. Step 3: Cross multiply
    295,103.80x = 442,598.10 × 98,111.80
  4. Step 4: Simplify right side
    295,103.80x = 43,424,096,267.58
  5. Step 5: Solve for x
    x = 43,424,096,267.58/295,103.80
  6. Step 6: Final answer
    x = 147,148.55

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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.