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Finding the Fourth Proportional to 153,970.32, 212,432.55 and 89,427.09

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Solution

The fourth proportional to 153,970.32, 212,432.55 and 89,427.09 is: 123,382.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,970.32 : 212,432.55 = 89,427.09 : x
  2. Step 2: Convert to fraction form
    153,970.32/212,432.55 = 89,427.09/x
  3. Step 3: Cross multiply
    153,970.32x = 212,432.55 × 89,427.09
  4. Step 4: Simplify right side
    153,970.32x = 18,997,224,767.78
  5. Step 5: Solve for x
    x = 18,997,224,767.78/153,970.32
  6. Step 6: Final answer
    x = 123,382.38

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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.