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Finding the Fourth Proportional to 153,508.81, 230,064.48 and 106,048.17

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Solution

The fourth proportional to 153,508.81, 230,064.48 and 106,048.17 is: 158,934.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,508.81 : 230,064.48 = 106,048.17 : x
  2. Step 2: Convert to fraction form
    153,508.81/230,064.48 = 106,048.17/x
  3. Step 3: Cross multiply
    153,508.81x = 230,064.48 × 106,048.17
  4. Step 4: Simplify right side
    153,508.81x = 24,397,917,086.00
  5. Step 5: Solve for x
    x = 24,397,917,086.00/153,508.81
  6. Step 6: Final answer
    x = 158,934.96

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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.