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Finding the Fourth Proportional to 230,294.92, 317,830.02 and 134,796.04

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Solution

The fourth proportional to 230,294.92, 317,830.02 and 134,796.04 is: 186,032.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,294.92 : 317,830.02 = 134,796.04 : x
  2. Step 2: Convert to fraction form
    230,294.92/317,830.02 = 134,796.04/x
  3. Step 3: Cross multiply
    230,294.92x = 317,830.02 × 134,796.04
  4. Step 4: Simplify right side
    230,294.92x = 42,842,228,089.12
  5. Step 5: Solve for x
    x = 42,842,228,089.12/230,294.92
  6. Step 6: Final answer
    x = 186,032.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.