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Finding the Fourth Proportional to 164,898.95, 227,560.16 and 89,447.45

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Solution

The fourth proportional to 164,898.95, 227,560.16 and 89,447.45 is: 123,437.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,898.95 : 227,560.16 = 89,447.45 : x
  2. Step 2: Convert to fraction form
    164,898.95/227,560.16 = 89,447.45/x
  3. Step 3: Cross multiply
    164,898.95x = 227,560.16 × 89,447.45
  4. Step 4: Simplify right side
    164,898.95x = 20,354,676,826.11
  5. Step 5: Solve for x
    x = 20,354,676,826.11/164,898.95
  6. Step 6: Final answer
    x = 123,437.27

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1.5x scale

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.