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Finding the Fourth Proportional to 153,855.29, 230,801.35 and 47,225.28

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Solution

The fourth proportional to 153,855.29, 230,801.35 and 47,225.28 is: 70,843.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,855.29 : 230,801.35 = 47,225.28 : x
  2. Step 2: Convert to fraction form
    153,855.29/230,801.35 = 47,225.28/x
  3. Step 3: Cross multiply
    153,855.29x = 230,801.35 × 47,225.28
  4. Step 4: Simplify right side
    153,855.29x = 10,899,657,342.18
  5. Step 5: Solve for x
    x = 10,899,657,342.18/153,855.29
  6. Step 6: Final answer
    x = 70,843.57

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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.