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Finding the Fourth Proportional to 153,235.20, 211,464 and 89,560.38

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Solution

The fourth proportional to 153,235.20, 211,464 and 89,560.38 is: 123,592.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,235.20 : 211,464 = 89,560.38 : x
  2. Step 2: Convert to fraction form
    153,235.20/211,464 = 89,560.38/x
  3. Step 3: Cross multiply
    153,235.20x = 211,464 × 89,560.38
  4. Step 4: Simplify right side
    153,235.20x = 18,938,796,196.32
  5. Step 5: Solve for x
    x = 18,938,796,196.32/153,235.20
  6. Step 6: Final answer
    x = 123,592.99

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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.