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Finding the Fourth Proportional to 295,098.80, 442,590.60 and 98,106.80

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Solution

The fourth proportional to 295,098.80, 442,590.60 and 98,106.80 is: 147,141.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,098.80 : 442,590.60 = 98,106.80 : x
  2. Step 2: Convert to fraction form
    295,098.80/442,590.60 = 98,106.80/x
  3. Step 3: Cross multiply
    295,098.80x = 442,590.60 × 98,106.80
  4. Step 4: Simplify right side
    295,098.80x = 43,421,147,476.08
  5. Step 5: Solve for x
    x = 43,421,147,476.08/295,098.80
  6. Step 6: Final answer
    x = 147,141.05

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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.