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Finding the Fourth Proportional to 283,035.38, 390,565.14 and 166,730.36

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Solution

The fourth proportional to 283,035.38, 390,565.14 and 166,730.36 is: 230,073.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,035.38 : 390,565.14 = 166,730.36 : x
  2. Step 2: Convert to fraction form
    283,035.38/390,565.14 = 166,730.36/x
  3. Step 3: Cross multiply
    283,035.38x = 390,565.14 × 166,730.36
  4. Step 4: Simplify right side
    283,035.38x = 65,119,066,395.65
  5. Step 5: Solve for x
    x = 65,119,066,395.65/283,035.38
  6. Step 6: Final answer
    x = 230,073.94

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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.