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Finding the Fourth Proportional to 153,859.47, 230,702.63 and 105,884.43

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Solution

The fourth proportional to 153,859.47, 230,702.63 and 105,884.43 is: 158,767.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,859.47 : 230,702.63 = 105,884.43 : x
  2. Step 2: Convert to fraction form
    153,859.47/230,702.63 = 105,884.43/x
  3. Step 3: Cross multiply
    153,859.47x = 230,702.63 × 105,884.43
  4. Step 4: Simplify right side
    153,859.47x = 24,427,816,477.05
  5. Step 5: Solve for x
    x = 24,427,816,477.05/153,859.47
  6. Step 6: Final answer
    x = 158,767.07

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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.